Book edition 7th

Author(s) Kenneth H. Rosen

Pages 808 pages

ISBN 9780073383095

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Short Answer

What is the value of x after each of these statements is encountered in a computer program, if x = 1 before the statement is reached?
a) if $x + 2 = 3$ then $x = x + 1$ b) if $(x + 1 = 3)$ OR $(2 x + 2 = 3)$ then $x = x + 1$ c) if $(2 x + 3 = 5)$ AND $(3 x + 4 = 7)$ then $x = x + 1$ d) if $(x + 1 = 2)$ XOR $(x + 2 = 3)$ then $x = x + 1$ e) if x < 2 then $x = x + 1$

a) x = 2

b) x = 1

c) x = 2

d) x = 1

e) x = 2

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Definition of Statement

Mathematical statement is a sentence that is either true or false.

Value of x in a)

We write given expression as,

$x + 2 = 3$

Given that initially x = 1,

Therefore, substitute 1 for x in the below given equation,

x = x+1

= 1+1.

Hence, x = 2.

Value of x in b)

We write given expression,

Given that x = 1,

$x + 1 = 1 + 1 \neq 3$

$2 x + 2 = 2 + 2 \neq 3$

False or false gives false.

Hence, x = 1

Value of x in c)

We write given expression as,

Given that x = 1,

$2 x + 3 = 2 + 3 = 5$

$3 x + 4 = 3 + 4 = 7$

True and true gives true.

Hence, x = 2.

Value of x in d)

We write given expression,

Given that x = 1,

$x + 1 = 2$

x + 2 = 3

True Ex-Or True gives false.

Hence, x = 1

Value of x in e)

We write given expression,

Given that x = 1,

Here 1 < 2

Hence, x = 2.

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Discrete Mathematics and its Applications

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Short Answer

Step by Step Solution

Definition of Statement

Value of x in a)

Value of x in b)

Value of x in c)

Value of x in d)

Value of x in e)

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Discrete Mathematics and its Applications

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Short Answer

What is the value of x after each of these statements is encountered in a computer program, if x = 1 before the statement is reached? a) if x+2=3 then x=x+1 b) if (x+1=3)OR (2x+2=3) then x=x+1 c) if (2x+3=5)AND (3x+4=7) then x=x+1 d) if (x+1=2) XOR (x+2=3) then x=x+1e) if x < 2 thenx=x+1

Step by Step Solution

Definition of Statement

Value of x in a)

Value of x in b)

Value of x in c)

Value of x in d)

Value of x in e)

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