This problem can be solved by using the answer choices. We plug in the given values of the equations and see if they satisfy it.
| 4(3) - 3 | - 5 = 4
4 = 4; this is a solution
| 4(-1.5) - 3 | - 5 = 4
4 = 4; this is a solution
|2(-4) + 3| + 8 = 3
13 =/= 3, not a solution
|2(1) + 3| + 8 = 3
13 =/= 3, not a solution
Thus, equation 1 has two solutions, x = 3 and x = -1.5, while equation 2 has no solutions. The third option is correct.