Question

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

Answer 1

3.5x-10>-3 add 10 to both sides

3.5x>13 divide both sides by 3.5

x>26/7

x=(26/7, +oo)

...

8x-9<39 add 9 to both sides

8x<48 divide both sides by 8

x<6

x=(-oo,6)

Since this is a compound inequality with AND the solution set will be the union of the two intervals found above.

x=(26/7, 6)

Answer 2

2<x<6

Explanation:

I graphed it