So to solve for an inequality, you must isolate the variable, in this case x, to one side.
Starting with 3.5x - 10 > -3, firstly add both sides by 10:
3.5x > 7
Next, divide both sides by 3.5 and your first half is:
x > 2
Next with 8x - 9 < 39, firstly add both sides by 9:
8x < 48
Next, divide both sides by 8 and your second half is:
x < 6
Putting it together, your final answer is x > 2 and x < 6 or 2 < x < 6.