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Which values are part of the solution set based on the result of the inequality?

-4x + 24 < -2x + 2

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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 , ∞)

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