Question

What is the soulution to the compound inequality 2<3x-1-<5

Answer 1

2 < 3x - 1 < 5 ....add 1 to all sections
2 + 1 < 3x - 1 + 1 < 5 + 1 ...simplify
3 < 3x < 6...now divide all sections by 3
3/3 < (3/3)x < 6/3...simplify
1 < x < 2 <===

but if u have trouble doing it this way, u can split it
2 < 3x - 1                    3x - 1 < 5
2 + 1 < 3x                   3x < 5 + 1
3 < 3x                          3x < 6
3/3 < x                          x < 6/3
1 < x                             x < 2
now put them together.....1 < x < 2 <==

either way, u will get the same answer