Question

What is the solution to the inequality `5x + 8 > –12`?

Answer 1

`x > -4`

Explanation:

Given an inequality, the inequality remains valid (including orientation of the inequality sign) following:

• addition or subtraction of any equal amount to/from both sides
• multiplication or division by any equal amount greater than zero on both sides.

Therefore, given `5x+8 > -12`

we can subtract `8` from both sides to get
`color(white)("XXXX")` `5x > -20`

and then we can divide both sides by `5`
`color(white)("XXXX")` `x > -4`