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Q1.1-23E

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Found in: Page 14

### 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.] a) It snows whenever the wind blows from the northeast. b) The apple trees will bloom if it stays warm for a week. c) That the Pistons win the championship implies that they beat the Lakers. d) It is necessary to walk miles to get to the top of Long’s Peak. e) To get tenure as a professor, it is sufficient to be world famous. f ) If you drive more than miles, you will need to buy gasoline. g) Your guarantee is good only if you bought your CD player less than days ago. h) Jan will go swimming unless the water is too cold.

a) If the wind blows from northeast then it snows.

b) If it stays warm for a week then the apple trees will bloom.

c) If Pistons win championship then they beat Lakers.

d) If you want to go to top of Long’s peak then walk miles.

e) If you want to be world famous then get tenure as a professor.

f) If you drive more than miles, then you will need to buy gasoline.

g) If your guarantee is good then you bought your CD player days ago.

h) If water is not too cold then Jan will go swimming.

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)

It snows whenever the wind blows from the northeast

The conditional statement is,

It snows whenever the wind blows from the northeast.

## Step 3: Conditional statement in b)

The apple trees will bloom if it stays warm for a week.

The conditional statement is,

If it stays warm for a week then the apple trees will bloom.

## Step 4: Conditional statement in c)

That the Pistons win the championship implies that they beat the Lakers.

Conditional statement is,

If Pistons win championship then they beat Lakers

## Step 5: Conditional statement in d)

It is necessary to walk miles to get to the top of Long’s Peak.

Conditional statement is,

If you want to go to top of Long’s peak then walk miles

## Step 6: Conditional statement in e)

To get tenure as a professor, it is sufficient to be world famous.

Conditional statement is,

If you want to be world famous then get a tenure as a professor

## Step 7: Conditional statement in f)

If you drive more than miles, you will need to buy gasoline

Conditional statement is,

If you drive more than miles, then you will need to buy gasoline.

## Step 8: Conditional statement in g)

Your guarantee is good only if you bought your CD player less than days ago.

Conditional statement is,

If your guarantee is good then you bought your CD player days ago.

## Step 9: Conditional statement in h)

Jan will go swimming unless the water is too cold.

Conditional statement is,

If water is not too cold then Jan will go swimming.