Answer: Choice B. x > 3
Work Shown:
5(3-x) < -2x+6
15-5x < -2x+6 .... distribute
15-5x+5x < -2x+6+5x ... adding 5x to both sides
15 < 3x+6
15-6 < 3x+6-6 ... subtracting 6 from both sides
9 < 3x
3x > 9 ... flip both sides of inequality, flip the inequality sign
3x/3 > 9/3 ... dividing both sides by 3
x > 3
Notice that when going from 3x > 9 to x > 3, the inequality sign does not flip. The sign only flips if you divided both sides by a negative number.
