## anonymous 5 years ago Which of these expressions resolves to a finite set of solutions for x? a.)|2 + x| = 7 b.)2 ≤ x ≤ 7 c.)|2 + x| > 7 d.)2 < x < 7

1. nowhereman

Please find the solutions for (a).

2. anonymous

huh ?

3. anonymous

4. nowhereman

Which values for x make the equation in a.) true?

5. anonymous

2 & 7

6. nowhereman

No, that is not true. I'll give you a definition: $|a| = \begin{cases}a\quad \text{if}\;a \geq 0\\-a\quad\text{if}\;a < 0\end{cases}$

7. anonymous

ok

8. anonymous

I think the answer is A

9. anonymous

Because x can only be 5 or -9 if |x+2|=7