Answer:
The following statements are true:
A) The equation |-x - 4| = 8 will have two solutions.
D) The equation |2x - 10| = -20 will have two solutions.
E) The equation |0.5x - 0.75| + 4.6 = 0.25 will have no solutions.
The other statements are not true. The equation 3.4|0.5x - 42.1| = -20.6 will not have one solution, as the absolute value of a number cannot be negative. The equation |1/2x - 3/4| = 0 will not have no solutions, as the absolute value of a number cannot be zero. The equation |1/8x - 1| = 5 will not have infinitely many solutions, as the absolute value of a number cannot be negative.
Explanation: