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)