Question

Help with this problem

I got the answer (4,12) (interval notation) 4

Answer 1

(4, 12)

Explanation:

Simplify (remember to flip the sign when dividing or multiplying by a negative number).

2 − 4 |8 − x| > -14

-4 |8 − x| > -16

|8 − x| < 4

There are two solutions. The first:

8 − x < 4

-x < -4

x > 4

The second solution:

8 − x > -4

-x > -12

x < 12

Therefore, the interval is (4, 12).