Algebra-1

To solve the inequality |2w - 1| < 11, we can break it down into two cases:

Case 1: 2w - 1 is nonnegative (i.e., 2w - 1 ≥ 0)
In this case, the absolute value |2w - 1| is equal to 2w - 1, so we have:
2w - 1 < 11

Solving this inequality, we get:
2w < 11 + 1
2w < 12
w < 6

Case 2: 2w - 1 is negative (i.e., 2w - 1 < 0)
In this case, the absolute value |2w - 1| is equal to -(2w - 1), so we have:
-(2w - 1) < 11

Multiplying both sid...