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Help please! Liberal Arts Mathematics question

Help please! Liberal Arts Mathematics question-example-1

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Answer:

Option C (x < -5/4)

Explanation:

((2 - 5x)/(-3)) + 4 < -x.

Take LCM on LHS:

(2 - 5x - 12)/(-3) < -x.

Multiplying -3 on both sides (this will also flip the inequality):

-5x - 10 > 3x.

Adding 10 on both sides and subtracting -3x on both sides:

-8x > 10.

Dividing -8 on both sides (this will also flip the inequality):

x < -5/4.

Therefore, Option C is the correct answer!!!

User Kelloti
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