Question

-23 < 4x-7 Huryyyyyy

Answer 1

We have the inequality -23 < 4x-7. Our aim is to have X on its own on the left of the inequality sign:

It is important to remember that every operation performed, must be performed on each side of the inequality, in this first step we are adding 7 on the right side and subtracting 7 on the left side.

`\begin{gathered} -23+7<4x-7+7 \\ -16<4x \end{gathered}`

We are going to pass x from the right side to the left side, by doing this we must also change the direction of the inequality:

`4x>-16`

Then we divide by 4 on each side:

`\begin{gathered} (4x)/(4)>(-16)/(4) \\ x>-4 \end{gathered}`