Question

How do you solve and graph the compound inequality `3x-1<8` or `5x-5>25`?

Answer 1

Solve
3x - 1 < 8
5x - 5 > 25

Explanation:

(1) `3x - 1 < 8 -> 3x < 9 -> x < 3`

(2) `5x - 5 > 25 --> 5x > 30 --> x > 6`

==========|0======|3--------------|6==============

Answer: open intervals (-infinity, 3) and (6, +infinity)