Answer:
C. -7 < x < 7
Explanation:
|2x| is the absolute value of 2x. You can think of it as the positive of a number, or as the distance between a number and 0 on a number line.
So |2x| < 14 means 2x is less than 14 units away from 0.
We can split this into two inequalities.
2x < 14 and 2x > -14
Solving both, we get:
x < 7 and x > -7
-7 < x < 7