How do you graph and solve $2|x – 3| - 5 = 9$ ?

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Answer 1 · 2016-03-31T03:38:11

You have to first isolate the absolute value.

$|x - 3| = 7$

You must now consider two scenarios; the absolute value is positive or negative.

Positive:

$x - 3 = 7$

$x = 10$

Negative:

$-(x - 3) = 7$

$-x + 3 = 7$

$-x = 4$

$x = -4$

The solution set is ${x = 10, -4}$ .

Hopefully this helps!

How do you graph and solve 2|x – 3| - 5 = 92|x – 3| - 5 = 9?