Solve compound inequality - 4 < 3x - 1 <= 5

Question

Solve compound inequality - 4 < 3x - 1 <= 5

Answer 1

Just add 1 to each of the 3 terms to get

-3 < 3x < 6

then divide by 3 to get

-1 < x < 2

Answer 2

To solve this inequality, you need to undo the operations to get the x by itself. Remember that all operations have to happen in all three parts to the inequality.

-4<3x-1<=5 start by adding 1

-4+1<3x-1+1<=5+1

-3<3x<=6 then divide by 3

-3/3 < 3x/3 <= 6/3

-1<x<2