Chapter 2: Q55. (page 124)

Solve each expression if $x = - 2, y = 6, and z = 4$ . (Lesson 2-5)
$|3 - x| + 7$

Short Answer

Expert verified

The value of the expression is $12$

Step by step solution

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.

Step-2. Plug values and Simplify.

We are given the expressions: $| 3 - x | + 7$

Plugging the values $x = - 2, y = 6, and z = 4$ and simplifying as shown we get:

$\begin{array}{l} = |3 - x| + 7 \\ = |3 - (- 2)| + 7 \\ = |3 + 2| + 7 \\ = |5| + 7 \\ = 5 + 7 \\ = 12 \end{array}$

Thus the value of the expression is $12$

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Solve each expression if $x = - 2, y = 6, and z = 4$ . (Lesson 2-5)
$|3 - x| + 7$

Short Answer

Step by step solution

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

Step-2. Plug values and Simplify.

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Solve each expression if x=−2,y=6,andz=4. (Lesson 2-5)3−x+7

Short Answer

Step by step solution

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

Step-2. Plug values and Simplify.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Mechanics Maths

Geometry

Probability and Statistics

Theoretical and Mathematical Physics

Decision Maths

Study anywhere. Anytime. Across all devices.

Solve each expression if $x = - 2, y = 6, and z = 4$ . (Lesson 2-5)
$|3 - x| + 7$