StudySmarter AI is coming soon!

- :00Days
- :00Hours
- :00Mins
- 00Seconds

A new era for learning is coming soonSign up for free

Suggested languages for you:

Americas

Europe

Q17P

Expert-verifiedFound in: Page 14

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

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

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

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.

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.

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.

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.

94% of StudySmarter users get better grades.

Sign up for free