Question

Solve the absolute value inequality. |2x - 3| > 7

Answer 1

Hi!

NOTE: When solving absolute value inequalities, > or ≥ means OR, and < and ≤ means AND.

|2x - 3| > 7

Since the absolute value is isolated, we can now solve.

First, remove absolute value signs, then solve for x.

2x - 3 > 7

2x > 10

x > 5

Now, we have to solve again, but this time we flip the inequality sign and switch positive 7 to a negative 7, like so:

2x - 3 < -7

2x < -4

x < -2

Now, as stated above, since it's a greater than symbol it means OR.

x > 5 OR x < -2

For more information on solving absolute value inequalities:

brainly.com/question/14473339