Question

Solve the inequality. Express the answer using interval notation.
2|x + 8| + 8 > 3

(Choose the correct answer)

1. (−infinity, infinity)
2. [0, 2)
3. (− 21/2, infinity)
4. (−infinity, −21/2)
5. (−2, 0]

Answer 1

ready?

Answer 2

rewrite as 2(x+8) + 8 > 3

Answer 3

Thank everyone. I figured the problem out.

Answer 4

\[2|x+8|+8>3\\2|x+8|>-5\\|x+9|>-\frac52\\\text{Since}\ |a|\ge0\ \text{and}\ 0>-\frac52\text{, any}\ x+9\ \text{will satisfy.}\]

Answer 5

\[x+8\ \text{rather.}\]