Explanation:
Which values are part of the solution set based on the result of the inequality?
-4x + 24 < -2x + 2
add 2x to both sides:
-4x + 24 + 2x < -2x + 2 + 2x
-2x + 24 < 2
subtract 24 from both sides:
-2x + 24 - 24 < 2 - 24
-2x < -22
divide both sides by -2: [remember to flip the sign direction because you are dividing by a negative number]
-2x/-2 > -22/-2
x > 11
or (11 , ∞)