Question

Solve 3(3-8x)+5<2(9+6x)

Use set builder notion to describe the solution?

I got x=9/31 is this correct???

Answer 1

3(3-8x)+5<2(9+6x)
Expand both sides:
9-24x+5 < 18+12x
Add 24x to each side:
14 < 36x+18
Subtract 18 from each side:
-4 < 36x
Change sides:
36x>-4
x>1/9

Solution set:
{x : x>1/9}