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

Solve each and find teh union or where they intersect

3.5x-10>-3

add 10

3.5x>7

divide both sides by 3.5

x>2

8x-9<39

add 9 to both sides

8x<48

divide both sides by 8

x<6

we have

x>2

x<6

so the zone where they are both is

2
S=x

The solution is X>0.858 and <6