• :00Days
• :00Hours
• :00Mins
• 00Seconds
A new era for learning is coming soon Suggested languages for you:

Europe

Answers without the blur. Sign up and see all textbooks for free! Q17P

Expert-verified Found in: Page 14 ### Discrete Mathematics and its Applications

Book edition 7th
Author(s) Kenneth H. Rosen
Pages 808 pages
ISBN 9780073383095 # Determine whether each of these conditional statements is true or false.a) If ${\mathbf{1}}{\mathbf{+}}{\mathbf{1}}{\mathbf{=}}{\mathbf{2}}$, then ${\mathbf{2}}{\mathbf{+}}{\mathbf{2}}{\mathbf{=}}{\mathbf{5}}$. b) If ${\mathbf{1}}{\mathbf{+}}{\mathbf{1}}{\mathbf{=}}{\mathbf{3}}$, then ${\mathbf{2}}{\mathbf{+}}{\mathbf{2}}{\mathbf{=}}{\mathbf{4}}$. c) If ${\mathbf{1}}{\mathbf{+}}{\mathbf{1}}{\mathbf{=}}{\mathbf{3}}$, then ${\mathbf{2}}{\mathbf{+}}{\mathbf{2}}{\mathbf{=}}{\mathbf{5}}$. d) If monkeys can fly, then ${\mathbf{1}}{\mathbf{+}}{\mathbf{1}}{\mathbf{=}}{\mathbf{3}}$.

a) False

b) True

c) True

d) True

See the step by step solution

## Step1: Definition of conditional statement

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

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

## Step 2: Truth value for a)

We write given expressions as,

$1+1=2$ is true and $2+2=5$ is false.

If true then false is false.

Hence, truth value is false.

## Step 3:Truth value for b)

We write given expressions as,

$1+1=3$ is false and $2+2=4$ is true.

If false then true is true.

Hence, truth value is true.

## Step 4: Truth value for c)

We write given expressions as,

$1+1=3$ is false and is $2+2=5$ also false

If false then false is true.

Hence, truth value is True.

## Step 5: Truth value for d)

We write given expressions as,

Monkeys can fly is false and $1+1=3$ is also false.

If false then false is true

Hence, truth value is true. ### Want to see more solutions like these? 