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?

1 Answer
Oct 22, 2016

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