Case 1: |2x - 3| = +(2x - 3) |

2x - 3 = 1

2x = 1 + 3 = 2

x = 2

Case 2: |2x - 3| = -(2x - 3) |

-2x + 3 = 1

-2x = 1 - 3 = -2

x = 1

Putting together the two above cases,

the solution set for
|2x - 3| = 1 is**:**

x = 1 or x = 2 or (in set notation): {1,2} |