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

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)