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Chapter 2: Q57. (page 124)

Solve each expression if x=鈭�2,y=6,andz=4

y+x鈭�z+4

Short Answer

Expert verified

The value of the expression is4

Step by step solution

01

Step-1. Use the definition of absolute value function.

The absolute value or modulus of a real number x, denoted |x| is the non-negative value of x without regard to its sign.

Absolute value refers to a point's distance from zero or origin on the number line, regardless of the direction.

02

Step-2. Plug values and Simplify.

We are given the expressions: |y+x|鈭�z+4

Plugging the values x=鈭�2,y=6,andz=4and simplifying as shown we get:

=y+x鈭�z+4=6+鈭�2鈭�4+4=6鈭�2=4=4

Thus the value of the expression is 4.

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