Book edition 7th

Author(s) Kenneth H. Rosen

Pages 808 pages

ISBN 9780073383095

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Short Answer

Determine whether these biconditionals are true or false.
a) $2 + 2 = 4$ if and only if $1 + 1 = 2$ b) $1 + 1 = 2$ if and only if $2 + 3 = 4$ c) $1 + 1 = 3$ if and only if monkeys can fly. d) $0 > 1$ if and only if $2 > 1$

a) True

b) False

c) True

d) False

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step1: Definition of the biconditional

A bi-conditional statement is a combination of two conditional statements and its converse is written in if and only if form.

Step 2: Truth value for a)

We write given expressions as,

$2 + 2 = 4$ is true and $1 + 1 = 2$ is also true.

True if and only if true is True.

Hence, truth value is True.

Step 3:Truth value for b)

We write given expressions as,

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

True if and only if false is false.

Hence, truth value is False.

Step 4: Truth value for c)

We write given expressions as,

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

False if and only if false is true.

Hence, truth value is True.

Step 5: Truth value for d)

We write given expressions as,

$0 > 1$ is false and $2 > 1$ is true

False if and only if true is false.

Hence, truth value is false.

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Discrete Mathematics and its Applications

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Short Answer

Determine whether these biconditionals are true or false.
a) $2 + 2 = 4$ if and only if $1 + 1 = 2$ b) $1 + 1 = 2$ if and only if $2 + 3 = 4$ c) $1 + 1 = 3$ if and only if monkeys can fly. d) $0 > 1$ if and only if $2 > 1$

Step by Step Solution

Step1: Definition of the biconditional

Step 2: Truth value for a)

Step 3:Truth value for b)

Step 4: Truth value for c)

Step 5: Truth value for d)

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Discrete Mathematics and its Applications

Answers without the blur.

Short Answer

Determine whether these biconditionals are true or false. a) 2 + 2 = 4 if and only if 1+1=2 b) 1+1=2 if and only if 2+3=4 c) 1+1=3 if and only if monkeys can fly. d) 0>1if and only if 2>1

Step by Step Solution

Step1: Definition of the biconditional

Step 2: Truth value for a)

Step 3:Truth value for b)

Step 4: Truth value for c)

Step 5: Truth value for d)

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Pure Maths

Determine whether these biconditionals are true or false.
a) $2 + 2 = 4$ if and only if $1 + 1 = 2$ b) $1 + 1 = 2$ if and only if $2 + 3 = 4$ c) $1 + 1 = 3$ if and only if monkeys can fly. d) $0 > 1$ if and only if $2 > 1$