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91Ó°ÊÓ

Evaluate the expression when x=4  and  y=-7.

y--x.

Short Answer

Expert verified

Value of expression y--x=3.

Step by step solution

01

Step-1-Using mod operator concept

Recall that,

x=xif x>0, and,

x=-xif x<0.

02

Step-2-Find value of mod y

Given y=-7which is less than 0

Using above formula, we get

|y|=|-7||y|=-(-7)|y|=7

03

Step-3-Find value of mod of minus x

-x=-(4)-x=-4

-xless than 0.

Using above formula, we get

|-x|=|-4||-x|=-(-4)|-x|=4

04

Step-4- Find the value of the expression

On substituting values in y--x, we get

|y|-|-x|=7-4|y|-|-x|=3

Therefore, the value of expression y--x=3.

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