Question

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

Answer 1

lets break this down into pieces

3.5x - 10> -3
how do we isolate x in this inequality, can you do it?

Answer 2

i have no idea what im doing at all

Answer 3

3.5x - 10> -3

to get x all by it's self, i want to move the 10 to the other side with the -3
by adding 10 to both sides
3.5x - 10 + 10 > -3 +10
3.5x + 0 > -3 + 10
3.5x > 7

then I want to get rid of the 3.5 that is attached to the x, I do this by dividing both sides by 3.5

3.5x/3.5 > 7/3.5
x > 7/3.5

make sense?

now you try for this equation?
8x - 9< 39