1. Solve for x. Collect xs on the LEFT side. The solution should be presented with x first, the correct inequality symbol, then the number.

Question

5(2x – 7) < -8

Answer 1

5(2x-7)<-8
10x -25< -8
10x< 17
x<(17/10)
x<1.7

I think you only change the sign when you move a negative by multiplication or division, so I think the sign is correct.
You might want to reference your book though.

Answer 2

There is an error in the second line.
Should be:
10x - 35 < -8

Answer 3

ah, typo, sorry.
5(2x-7)<-8
10x-35<-8
10x<27
x<2.7

Answer 4

Thanks for your response Adam and Quidditch. You've been a great help!