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frozen [14]
3 years ago
15

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

Mathematics
1 answer:
egoroff_w [7]3 years ago
3 0

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

<em>The expression can't be further simplified</em>

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