Question

Write each of the following expressions without using absolute value. 7m–56|, if m<8

Answer 1

Answer:

$|7m- 56| = 56 - 7m$

Step-by-step explanation:

Given

$|7m- 56|$

$m < 8$

Required

Rewrite the expression without absolute values

The first step is to check if the expression in |...| is positive or negative;

The question says m < 8,

This means the value of m could be 7, 6 ...

Let's assume m is 7

$7m - 56 = 7 * 7 - 56 = 49 - 56 = -7$

This means that the expression $|7m- 56|$ will give a negative value if $m < 8$

So,

$|7m- 56| = -(7m - 56)$

Open bracket

$|7m- 56| = -7m + 56$

Rearrange

$|7m- 56| = 56 - 7m$

The expression can't be further simplified