Question

Which values are in the solution set of |x| = 3

a.) x < 3
b.) x > 3
c.) x = -3
d.) x = 0

Answer 1

The answer is c. X=-3

Answer 2

c.) x = -3

Explanation:

`|a|=\left\{\begin{array}{ccc}a&for&a\geq0\\-a&for&a<0\end{array}\right\\\\\text{Examples:}\\\\|2|=2\\|-5|=-(-5)=5\\|0|=0\\|-23|=23\\\\=====================\\\\|x|=3\Rightarrow x=-3\ or\ x=3\\\\\text{Check:}\\\\|3|=3\\|-3|=-(-3)=3`