Solve.
-$- 5 ( \mathrm { k } - 9 )

Name: Solve. -$- 5 ( \mathrm { k } - 9 ) < - 2 + ( - 6 \mathrm { k } - 5 )$
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Question

Solve.
-$- 5 ( \mathrm { k } - 9 ) < - 2 + ( - 6 \mathrm { k } - 5 )$

Quizplus · Accepted Answer

To solve the inequality $- 5 ( k - 9 ) < - 2 + ( - 6 k - 5 )$, first distribute the -5 on the left side: $-5k + 45 < -2 - 6k - 5$. Simplify the right side: $-5k + 45 < -7 - 6k$. Then, add 6k to both sides: $k + 45 < -7$. Subtract 45 from both sides: $k < -52$. This means the solution is $k \in ( -\infty, -52 )$, which corresponds to choice D.

Solve - −5(k−9)<−2+(−6k−5)- 5 ( \mathrm { k } - 9 ) < - 2 + ( - 6 \mathrm { k } - 5 )−5(k−9)<−2+(−6k−5)

Solve
- $- 5 ( \mathrm { k } - 9 ) < - 2 + ( - 6 \mathrm { k } - 5 )$