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:
https://brainly.com/question/14473339
