Question

solve the following inequality for c. write your answer in simplest form. -9c + 7 ≥ 4c - 7

Explanation:

Step1: Move terms with $c$ to left

$-9c - 4c + 7 \geq -7$

Step2: Combine like terms for $c$

$-13c + 7 \geq -7$

Step3: Move constant to right

$-13c \geq -7 - 7$

Step4: Calculate right-hand side

$-13c \geq -14$

Step5: Divide by -13, flip inequality

$c \leq \frac{14}{13}$

Answer:

$c \leq \frac{14}{13}$