Question

A friend is having difficulty solving `-1.75(q-5) > 3(q+2.5)`. How would you explain solving this inequality, showing all the steps and identifying the properties you would use?

Answer 1

`q<5/19`

Explanation:

`-1.75(q-5)>3(q+2.5)`
`-1.75q+8.75>3q+7.5`

Rearranging:
`8.75-7.5>3q+1.75q`
`1.25>4.75q`

Rearranging:
`4.75q<1.25`

Simplifying:

`q<5/19`