Question

question
solve the following inequality for c. write your answer in simplest form.
9c + 2(4c + 9) ≤ -8c - 8 - 10c
answer attempt 1 out of 5
c < >
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Explanation:

Step1: Expand left side

Expand \(2(4c + 9)\) to get \(8c + 18\). So left side becomes \(9c + 8c + 18 = 17c + 18\).

Step2: Combine right side terms

Combine \(-8c - 10c\) to get \(-18c\). So right side is \(-18c - 8\).

Step3: Move all c terms to left

Add \(18c\) to both sides: \(17c + 18 + 18c \leq -8\). Combine like terms: \(35c + 18 \leq -8\).

Step4: Isolate c term

Subtract 18 from both sides: \(35c \leq -8 - 18\). Calculate: \(35c \leq -26\).

Step5: Solve for c

Divide both sides by 35: \(c \leq \frac{-26}{35}\).

Answer:

\(c \leq -\frac{26}{35}\)