Question

Help please!

Solve for x.
–9<4x+3≤27

Answer 1

I believe anything more than -2 and less than 6 would work for x.

Answer 2

The solution set is
`-3<x\leq 6`

Explanation:

Consider the provided inequality.

`-9<4x+3\leq 27`

Subtract 3 from both the sides.

`-9-3<4x+3-3\leq 27-3`

`-12<4x\leq 24`

Divide both the sides by 4.

`(-12)/(4)<(4x)/(4)\leq (24)/(4)`

`-3<x\leq 6`

Hence, the solution set is
`-3<x\leq 6`