Answer:
(4, 12)
Step-by-step 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).
