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Discrete Mathematics and its Applications
Found in: Page 14
Discrete Mathematics and its Applications

Discrete Mathematics and its Applications

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

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Short Answer

Determine whether each of these conditional statements is true or false.

a) If 1+1=2, then 2+2=5. b) If 1+1=3, then 2+2=4. c) If 1+1=3, then 2+2=5. d) If monkeys can fly, then 1+1=3.

a) False

b) True

c) True

d) True

See the step by step solution

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.

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