Algebra-1

To solve the inequality |5 - 5r| + 1 < 36, we can break it down into two cases based on the absolute value expression.

Case 1: 5 - 5r ≥ 0 (when the absolute value is positive or zero)
In this case, the inequality becomes (5 - 5r) + 1 < 36. Simplifying the inequality gives 6 - 5r < 36. Subtracting 6 from both sides of the inequality gives -5r < 30. Dividing both sides by -5 (since -5 is negative) reverses the inequality sign, giving r >...