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Which inequality describes all the solutions to 5(3 - x) < -2x + 6?

A X <-9
B. x > 3
O c. xx-3
D. X>7

User Mazz
by
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1 Answer

3 votes

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.

User MiBol
by
6.9k points