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Found in: Page 15

### Discrete Mathematics and its Applications

Book edition 7th
Author(s) Kenneth H. Rosen
Pages 808 pages
ISBN 9780073383095

# Write each of these statements in the form “if p, then q” in English. [Hint: Refer to the list of common ways to express conditional statements provided in this section.] a) I will remember to send you the address only if you send me an e-mail message. b) To be a citizen of this country, it is sufficient that you were born in the United States. c) If you keep your textbook, it will be a useful reference in your future courses. d) The Red Wings will win the Stanley Cup if their goalie plays well. e) That you get the job implies that you had the best credentials. f ) The beach erodes whenever there is a storm. g) It is necessary to have a valid password to log on to the server. h) You will reach the summit unless you begin your climb too late.

a) If I remember to send you the address then you can send me an e-mail message.

b) If you were born in United States then you will be citizen of this country.

c) If you keep your textbook then it will be a useful reference in your future courses.

d) If Red Wing’s goalie plays well then they will win the Stanley Cup.

e) If you get the job then you had best credentials.

f) If there is a storm, then the beach erodes.

g) If you log on to server, then you should have valid password.

h) If you begin your climb early then you will reach the summit.

See the step by step solution

## Step 1: Definition of conditional statement

A conditional statement is a statement which can be written in the form,

“If P then Q,” where P and Q are sentences.

## Step 2: Conditional statement in a)

I will remember to send you the address only if you send me an e-mail message.

The conditional statement is,

If I remember to send you the address then you can send an e-mail message.

## Step 3: Conditional statement in b)

To be a citizen of this country, it is sufficient that you were born in the United States.

The conditional statement is,

If you were born in United States then you will be citizen of this country.

## Step 4: Conditional statement in c)

If you keep your textbook, it will be a useful reference in your future courses.

Conditional statement is,

If you keep your textbook then it will be a useful reference in your future courses.

## Step 5: Conditional statement in d)

The Red Wings will win the Stanley Cup if their goalie plays well.

Conditional statement is,

If Red Wing’s goalie plays well then they will win the Stanley Cup.

## Step 6: Conditional statement in e)

That you get the job implies that you had the best credentials.

Conditional statement is,

If you get the job then you had best credentials.

## Step 7: Conditional statement in f)

The beach erodes whenever there is a storm.

Conditional statement is,

If there is a storm, then the beach erodes.

## Step 8: Conditional statement in g)

It is necessary to have a valid password to log on to the server.

Conditional statement is,

If you log on to server, then you should have valid password.

## Step 9: Conditional statement in h)

You will reach the summit unless you begin your climb too late.

Conditional statement is,

If you begin your climb early then you will reach the summit.