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Chapter 2: Q56. (page 124)

Solve each expression if x=鈭�2,y=6,andz=4. (Lesson 2-5)

role="math" 12鈭�z+9

Short Answer

Expert verified

The value of the expression is-1

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: 12鈭�|z+9|

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

=12鈭�z+9=12鈭�4+9=12鈭�13=12鈭�13=鈭�1

Thus the value of the expression is -1.

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