Chapter 1: Q. 7C (page 22)

Evaluate the expression when $x = - 4$ .
$12 - |x|$

Short Answer

Expert verified

The value of the expressionis 8.

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 $|N|$ .

For example, 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 2. Apply the concept of addition and subtraction

Two numbers with similar signs get added and the resulting number carries the similar sign.

Two numbers with opposite signs get subtracted and the resulting number carries the sign of the larger number.

Step 3. Evaluate the expression

To evaluate the value of the expression $12 - |x|$ , substitute $- 4$ for x and simplify further as shown below,

$\begin{matrix} 12 - |x| = 12 - |- 4| \\ = 12 - 4 \\ = 8 \end{matrix}$

Thus, the value of the given expression is 8.

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Evaluate the expression when $x = - 4$ .
$12 - |x|$

Short Answer

Step by step solution

Step 1. Absolute value of a number

Step 2. Apply the concept of addition and subtraction

Step 3. Evaluate the expression

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Evaluate the expression when x=-4.12-x

Short Answer

Step by step solution

Step 1. Absolute value of a number

Step 2. Apply the concept of addition and subtraction

Step 3. Evaluate the expression

One App. One Place for Learning.

Most popular questions from this chapter

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Evaluate the expression when $x = - 4$ .
$12 - |x|$