solve the following inequality for c. write your answer in simplest form.\n8 + 3(8c - 9) ≤ 9c + 7 - 4c

Explanation:

Step1: Expand the left - hand side

$8 + 3(8c - 9)=8+24c - 27=24c - 19$

Step2: Simplify the right - hand side

$9c + 7-4c = 5c+7$

Step3: Rewrite the inequality

$24c - 19\leqslant5c + 7$

Step4: Move the terms with c to one side

$24c-5c\leqslant7 + 19$

Step5: Combine like terms

$19c\leqslant26$

Step6: Solve for c

$c\leqslant\frac{26}{19}$

Answer:

$c\leqslant\frac{26}{19}$