Question

Which is the solution set of the compound inequality 3.5x-10 >-3 and 8x-9< 39

Answer 1

So starting with 3.5x - 10 > -3, add 10 to both sides of that equation:
`3.5x>7`

Next, divide both sides by 3.5, and that inequality is
`x>2`

Next, with 8x - 9 < 39, firstly add 9 to both sides of the equation:
`8x<48`

Next, divide both sides by 8 and this inequality is going to be
`x<6`

In short, your solution set is x > 2 AND x < 6.

Answer 2

your answer is 2<x<6 when written in compound inequality form.

Hope this helps.. #LLJ