Question

|2x-4|-7= -3 has one solution, no solution, or infinitely many solutions?

Answer 1

To solve the equation |2x-4|-7=-3, isolate the absolute value expression and consider two cases. The equation has two solutions: x = 4 and x = 0.

Step-by-step explanation:

To solve the equation |2x-4|-7=-3, we need to isolate the absolute value expression on one side of the equation. Step-by-step:

1. Add 7 to both sides: |2x-4| = 4
2. Now we have two cases to consider: 2x-4 = 4 or 2x-4 = -4
3. Case 1: 2x-4 = 4. Solve for x: 2x = 8, x = 4
4. Case 2: 2x-4 = -4. Solve for x: 2x = 0, x = 0

So, the equation has two solutions: x = 4 and x = 0. Therefore, it does not have infinitely many solutions and it does not have no solution.