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

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.