What is the solution to this inequality? -4(d-2) <-12 d > 5 d < 5 d < 1 d > 1

Varrak asked Oct 2, 2023

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32 votes

What is the solution to this inequality?

-4(d-2) <-12

d > 5
d < 5
d < 1
d > 1

Varrak asked Oct 2, 2023

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14 votes

Work Shown:

$-4(d-2) < -12\\\\-4d+8 < -12\\\\-4d < -12-8\\\\-4d < -20\\\\d > -20/(-4)\\\\d > 5$

In the second to last step, the inequality sign flips because we divided both sides by a negative number.

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