CPM Homework Help : AC Problem 10-52

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10-52.

Use the results from problem 10-51 to help you find all possible values for $x$ in each of the following equations.

$\left|x\right|=4$
Hint (a):
The absolute values of what two numbers equals $4$ ?
Answer (a):
$x=-4$ or $4$

$\left|x\right|=100$
Hint (b):
Follow the steps of part (a).

$\left|x\right|=-3$
Hint (c):
Can the absolute value of any number be negative?

$\left|x-2\right|=5$
Hint 1(d):
The absolute values of $-5$ and $5$ equal $5$ .
Hint 2(d):
$x-2=5$ or $x-2=-5$
Now solve both equations for $x$ .
Answer (d):
$x=7$ or $-3$

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