Question

Solve and check 1<3x+2 < 12?

Answer 1

-1/3<x<10/3

Answer 2

we want to isolate the x.

Subtract 2 from all sides of the inequality, so you get

-1 < 3x < 10

Now you want to divide all sides of the inequality by 3 (to isolate x), you get

-1/3 < x < 10/3 as your final answer.

Answer 3

But how do I check the solution? That's what I'm wondering.

Answer 4

pick a number from interval (-1/3, 10/3) and plug in into 3x+2
for example pick 0 so you have 3*0+2=2 which satisfy the condition 1<2<12

or

pick up 3 so you have 3*3+2=11 which also satisfy the constraints 1<11<12

that are check ups