Answer:
x > 7
x < -7
Explanation:
Absolute value inequalitiy entered
|2x| > 14
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |2x|
For the Negative case we'll use -(2x)
For the Positive case we'll use (2x)
-(2x) > 14
Multiply
-2x > 14
Divide both sides by 2
-x > 7
Multiply both sides by (-1)
Remember to flip the inequality sign
x < -7
Which is the solution for the Negative Case
(2x) > 14
Divide both sides by 2
x > 7
Which is the solution for the Positive Case
x < -7
x > 7
(-∞,-7)
(7,+∞)