1) | 2x – 3 | = 52x - 3 = 5 or 2x - 3 = -52x = 8 or 2x = -2x = 4 or x = -1
2) | 2 + 7x | = 12 + 7x = 1 or 2 + 7x = -17x = -1 or 7x = -3x = -1/7 or x = -3/7
3) | 5 – 3x | = 05 - 3x = 03x = 5x = 5/3
4) | 2x + 4 | = -2Since absolute value cannot be negative, there are no solutions.
1) | 2x – 3 | = 5
2x - 3 = 5 or 2x - 3 = -5
2x = 8 or 2x = -2
x = 4 or x = -1
2) | 2 + 7x | = 1
2 + 7x = 1 or 2 + 7x = -1
7x = -1 or 7x = -3
x = -1/7 or x = -3/7
3) | 5 – 3x | = 0
5 - 3x = 0
3x = 5
x = 5/3
4) | 2x + 4 | = -2
Since absolute value cannot be negative, there are no solutions.