Chapter 1: Q63. (page 24)

Evaluate the expression when $x = - 7$
localid="1649145257006" $|x| - |- x|$

Short Answer

Expert verified

The value of the expressionis 0.

Step by step solution

Step-1 – Absolute value of a number

Absolute value of any positive or negative number is always positive and equal to the magnitude of the number. The absolute value of a number N is denoted by $|N|$ .

The absolute value of a number represents the distance of the number from 0 in the number line.

Step-2 – Example of Absolute value

The absolute value of 3 is denoted by $|3|$ and is equal to 3.

And the absolute value of $- 4$ is denoted by $|- 4|$ and is equal to 4.

Step-3 – Evaluate the expression

To evaluate the value of the expression $|x| - |- x|$ , substitute $- 7$ for x and simplify further as shown below,

$\begin{matrix} |x| - |- x| = |- 7| - |- (- 7)| \\ = 7 - |7| \\ = 7 - 7 \\ = 0 \end{matrix}$

Thus, the value of the given expression is 0.

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Evaluate the expression when $x = - 7$
localid="1649145257006" $|x| - |- x|$

Short Answer

Step by step solution

Step-1 – Absolute value of a number

Step-2 – Example of Absolute value

Step-3 – Evaluate the expression

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Evaluate the expression when x=−7localid="1649145257006" x−−x

Short Answer

Step by step solution

Step-1 – Absolute value of a number

Step-2 – Example of Absolute value

Step-3 – Evaluate the expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Calculus

Geometry

Statistics

Logic and Functions

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Evaluate the expression when $x = - 7$
localid="1649145257006" $|x| - |- x|$