Question

Solve the following inequality-4<10+2x<=18

Answer 1

To solve the inequality we can subtract 10 as:

`\begin{gathered} -4<10+2x\leq18 \\ -4-10<10+2x-10\leq18-10 \\ -14<2x\leq8 \end{gathered}`

Then, dividing by 2, we get:

[tex]\begin{gathered} -\frac{14}{2}<\frac{2x}{2}\leq\frac{8}{2} \\ -7Therefore, the solution is:

-7 < x ≤ 4

Answer: -7 < x ≤ 4