What is the smallest number x satisfying \(\frac{3}{2}-2x\le4x-(5x+6)\)? Express your answer as a fraction in simplest form.
3/2 - 2x ≤ 4x - (5x + 6)
3/2 - 2x ≤ 4x - 5x - 6
3/2 - 2x ≤ -1x - 6 rearrange as
3/2 + 6 ≤ x
7.5 ≤ x
So.....7.5 is the smallest number = 15 / 2
