Jumat, 03 Maret 2017

Materi personal letter and invitation beserta contoh soal

Personal Letter

Definition:
A type of letter (or informal composition) that usually concerns personal matters and it is sent from one individual to another such as family members, relatives and friends, and love letters. People write and send personal letters for only a small number of people to read — usually one or two. Writers can send personal letters for lots of different reasons: short memos for business strategies, love letters between long-distance sweethearts or even pen pal messages to foreign exchange students. Senders usually handwrite personal letters, which emphasizes the personal nature of the note.
Form of a Personal Letter
  1. Date – This is the date when the letter is written.
  2. Name, Address, City and Zip Code – these are name, address, city and zip code of the sender.
  3. Salutation and Name of Recipient – The greeting usually starts with the word ‘Dear’ followed by the given name of the recipient or relationship and it ends with a comma. Two examples are shown: ‘Dear Ronald,’ ‘Dear Uncle,’
  4. Introduction– This is the opening of a letter. It may include greetings like ‘How are you?’ Sometimes, you may refer to a previous letter.
  5. Body– This is the main part of the letter. It includes the message that the writer wants to tell the recipient. It is often divided into paragraphs.
  6. Closure– This part indicates the letter is going to end. The writer may ask the recipient to reply here.
  7. Complimentary Close– This short expression includes a few words on one line. It ends with a comma. Some examples are shown below. ‘Yours sincerely,’ ‘Best regards,’ ‘Love,’
  8. Signature– the signature of the writer

Example of personal letter
October,10th 2013
From : Anissa Trimahayanti
Jl. Kenanga, gang Asri II, no 4 Denpasar 29055
My Dearest Friend Lisa,

Lisa, how are you? I hope that you and your family are all right. How about your study? You are my best friend ever. You always understand me though others won’t. When you decided to study in java, I was so confused and sad because a person who always next to me would leave me. I remember the last time we met, you said to me that it would be OK and our friendship would be still good.
During months, I attempted to adapt myself to my new class in Mahasaraswati University. Yeah, finally I could. I found a girl who could support me as well as you. Her name is Dahlia. I felt that I was happy to be her friend because she reminds me with the girl next to me last three months in Senior High School. Yes, she is as the best friend of mine as you. Of course I will introduce her to you.Even though we are now many miles away, I do believe the time when we can get together will come soon, doesn’t it? You should reply “YES”. So that Dahlia, you and me will be three best girls ever in the world. The sooner the better!!!! I miss you so much. I am always longing to see you; moreover, I want to share anything that usually I tell to you like when we were in Senior high school.
Lisa, I do promise to introduce Hendra, the person you admire… 🙂 So, when will you come back?
Please replay my letter as soon as you can because I’m really interested to know about your life here. J

Your old friend,
Anissa

Analysis
Date: October,10th 2013
Name and Address of sender: Anissa Trimahayanti , Jl. Kenanga, gang Asri II, no 4 Denpasar
Salutation and Name of Recipient: My Dearest Friend Lisa,
Introduction: Lisa, how are you? I hope that you and your family are all right. HoAnissa
t your study? You are my best friend ever. You always understand me though others won’t. When you decided to study in java, I was so confused and sad because a person who always next to me would leave me. I remember the last time we met, you said to me that it would be OK and our friendship would be still good.
Body : During months, I attempted to adapt myself to my new class in Mahasaraswati University. Yeah, finally I could. I found a girl who could support me as well as you. Her name is Dahlia. I felt that I was happy to be her friend because she reminds me with the girl next to me last three months in Senior High School. Yes, she is as the best friend of mine as you. Of course I will introduce her to you.Even though we are now many miles away, I do believe the time when we can get together will come soon, doesn’t it? You should reply “YES”. So that Dahlia, you and me will be three best girls ever in the world. The sooner the better!!!! I miss you so much. I am always longing to see you; moreover, I want to share anything that usually I tell to you like when we were in Senior high school.
Closure :Lisa, I do promise to introduce Hendra, the person you admire… 🙂 So, when will you come back? Please replay my letter as soon as you can because I’m really interested to know about your life here.
Complimentary Close :Your old friend,
Anissa
Contoh soal
Dear Indah
Indah, sorry I haven’t written to you for so long. We moved into a new apartment last month and we’ve been really busy getting settled.
It’s a nice apartment. It is bigger than our old one. It’s big so there are a lot of rooms to work in. It has a big living room, two bedrooms and two bathrooms. Another thing I like is the kitchen.
The apartment is on a quiet street in a good neighborhood. There’s also a shopping centre just down the street with a supermarket, some quite good restaurants and some stores.
                                We really enjoy living here. Do come over and have a look next time you are in the town. I’ll wait.

Love
Shelly
                                                                        
1.
What is the letter about?about? 
2.
Why hasn’t Shelly written a letter to Indah for so long?
3.
What is the purpose of the letter?




Dear Ivan
How are you? Hope everything is okay with you. I’m all right here.
We are going to have the national examination, aren’t we? Are you well prepared for it? Well, to be honest, I just have some difficulties in preparing for it, especially in science. There are extra lessons in my school and I take them all. But, I feel that they don’t help. I’m still confused in solving mathematic problems. I’m just worried that I fail the national examination. Do you have any suggestion for me? I really appreciate your help.
I look forward to hearing from you.

                Your buddy

Fahri
                                                       
4.
What does the letter tell us about? 

5.
Why is Fahri worried that he may fail the national examinatioexaminat? 




Invitation letter
Pay attention to the stucture of the example of invitation letter
You have learnt how to invite a lot invite a lot of friends/persons to present on a meeting. A party, or an activity. It willl be a waste of time if you do it verbally. We need to write an invitation letters. Here is the example of an invitation letters.
Dalam penulisan invitation card perlu diperhatikan langkah-langkah sebagai berikut    :
  • Your address
  • The date when you write the letter
  • The address of the addressee
    (the person to to whom you send the letter)
  • Solution
  • The body of the letter

Contoh Lengkap invitation letter (surat Undangan) Dalam Bahasa Inggris

                                                                               Kompleks,Jayaraya
                                                                               Jl.Bangunan Baru No. 10
                                                                           Bandung                                                              October ,10,2015
To    : Cheery
Jl.P. Diponegoro No.4
Probolinggo

Dear Cheery
We are going to have a one-week holiday,aren’t we?Could you come and visits? Let’s go to Pasir Putih Beadch and camp there. I think the weather would be nice. We’II have lots of fun.
Could you please replay soon?
Your truly,
Miranda
Write an invitation letter to your friends. Choose one of the following situation below.
1. You are the member of the school scount team. You want to invite your friend for the meeting The detail is as follows:
Time    : October,5, 2015 at 04.00 pm
Place    :School hall
2. You are the member of cheer leader . There will be a cheer leader competition next week. You invite your friends to have a find rehearsal.
The detail is as follows:
Time    : October,10,2015 at 02.00 pm
Place    : School yard
3. Ytou are the member of class outing program. You want to invite the entire class member to be ready for the outing program to yogyakarta:
4. The detail is as follows:
Time    :October, 20,2015 at 08.00 am
Place    :Class room

Contoh soal
Virginia Parker is turning 80, 
though it may seem absurd!  
We’re having a party, but don’t breathe a word!

Please join us for
a Surprise Birthday Party

Sunday, June 20th
2.00 pm

Deering Bay Estates Club House
13600 Old Cutler Road

RSVP by June 10th
To Danielle Stevens
873-0921

1.   1.  What kind of party is it?
2.   2.  When will the party be held?
3.    3.Where will the party be held? 
4.   4.  RSVP stands for ‘Respondez  S’il  Vous Plait which means …...

Relasi 

Pengertian Relasi

Relasi adalah suatu aturan yang memasangkan anggota himpunan ke himpunan lain. Suatu relasi dari himpunan A ke himpunan B adalah pemasangan atau perkawanan atau korespondensi dari anggota-anggota himpunan A ke anggota-anggota himpunan B.


Jika diketahui himpunan A = {Eko, Rina, Tono, Dika}; B = {Merah, Hitam, Biru}, maka relasi "suka dengan warna" himpunan A ke himpunan B dapat disajikan dalam diagram panah, diagram Cartesius, himpunan pasangan berurutan, dan dengan rumus.

a. Diagram panah
relasi: diagram panah

b. Diagram Cartesius
relasi: diagram cartesius

c. Himpunan pasangan berurutan
R = {(Eko, Merah), (Rina, Hitam), (Tono, Merah), (Dika, Biru)}


Fungsi

Pengertian Fungsi Matematika

FUNGSI MATEMATIKA
Suatu relasi dari himpunan A ke himpunan B disebut fungsi dari A ke B jika setiap anggota A dipasangkan dengan tepat satu anggota B.

Jika f adalah suatu fungsi dari A ke B, maka:
  • himpunan A disebut domai (daerah asal).
  • himpunan B disebut kodomain (daerah kawan) dan himpunan B yang pasangan (himpunan C) disebut range (hasil) fungsi f.
Aturan yang memasangkan anggota-anggota hhimpunan A dengan anggota-anggota himpunan B disebut aturan fungsi f.

Misal diketahui fungsi-fungsi:
f: A → B  ditentukan dengan notasi f(x).
g: C → D  ditentukan dengan notasi g(x).
Soal No. 1
A adalah himpunan bilangan prima yang kurang dari 10. Sementara diketahui B = {p, q, r}. Tentukan:
(a) banyaknya fungsi yang mungkin dibentuk dari himpunan A ke himpunan B
(b) banyaknya fungsi yang mungkin dibentuk dari himpunan B ke himpunan A
Pembahasan
A = {2, 3, 5, 7} sehingga banyak anggota A → n(A) = 4
B = {p, q, r} sehingga banyak anggota himpunan B → n(B) = 3
(a) banyaknya fungsi yang mungkin dibentuk dari himpunan A ke himpunan B
= 34 = 3 x 3 x 3 x 3 = 81
(b) banyaknya fungsi yang mungkin dibentuk dari himpunan B ke himpunan A
= 43 = 4 x 4 x 4 = 64
Soal No. 2
Diketahui A = {p, q, r, s, t} dan B = {2, 3, 5, 7, 11}. Tentukan banyaknya korespondensi satu-satu yang dapat dibuat dari himpunan A ke himpunan B!
Pembahasan
Korespondensi satu-satu dapat dibuat jika banyak anggota himpunan A sama dengan banyak anggota himpunan B.
relasi-dan-fungsi-no2a
Dua himpunan di atas memiliki banyak anggota yang sama yaitu 5 buah. Banyaknya korespondensi satu-satu yang dapat dibuat:
5 x 4 x 3 x 2 x 1 = 120 buah
Bagaimana jika jumlah anggotanya masing-masing ada 6?
6 x 5 x 4 x 3 x 2 x 1
Anggotanya 7?
7 x 6 x 5 x 4 x 3 x 2 x 1
dst
Soal No. 3
Diketahui:
f:x → x2 + 2x – 15
Tentukanlah:
(a) bayangan dari 3p
(b) bayangan dari 2
Pembahasan
Rumus fungsinya adalah f(x) = x2 + 2x – 15 sehingga:
(a) bayangan dari 3p
f(x) = x2 + 2x – 15
f(3p) = (3p)2 + 2(3p) – 15
f(3p) = 9p2 + 6p – 15
(b) bayangan dari 2
f(x) = x2 + 2x – 15
f(2) = 22 + 2(2) – 15
f(2) = 4 + 4 – 15
f(2) = -7
Soal No. 4
Diberikan suatu fungsi g(x) = 3x + 2p. Jika g(5) = 29, tentukan nilai p!
Pembahasan
Diketahui:
g(x) = 3x + 2p
Jika g(5) = 29
Sehingga:
3(5) + 2p = 29
15 + 2p = 29
2p = 29 – 15
2p = 14
p = 7
Soal No. 5
Diberikan rumus suatu fungsi adalah f(x) = ax + b. Jika f(1) = 12 dan f(-1) = 8, tentukan:
a) nilai dari a2 – b2
b) nilai dari f(2)
c) nilai dari f(2) – 2ab
Pembahasan
f(1) = 12
a(1) + b = 12
a + b = 12 ….(i)
f(-1) = 8
a(-1) + b = 8
-a + b = 8 ….(ii)
Dari (i) dan (ii):
a + b = 12
-a + b = 8
——- +
2b = 20
b = 10
Menentukan nilai a:
a + b = 12
a + 10 = 12
a = 2
a) nilai dari a2 – b2
a2 – b2 = 22 – (10)2
= 4 – 100
= 96
b) nilai dari f(2)
Rumus fungsi di atas:
f(x) = ax + b
f(x) = 2x + 10
Sehingga untuk x = 2 diperoleh
f(2) = 2(2) + 10
f(2) = 14
c) nilai dari f(2) – 2ab
f(2) – 2ab = 14 – 2(2)(10)
= 14 – 40
= -26
                 
d.
To give information

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