Solve the given inequality. Write the solution set using interval notation, then graph it. \( \frac{5-4 \mathrm{x}}{3} \geq-4 \)

Solve the equation \( \frac{5-4x}{3} \geq -4 \). Solve the inequality by following steps: - step0: Solve for \(x\): \(\frac{5-4x}{3}\geq -4\) - step1: Multiply both sides: \(\frac{5-4x}{3}\times 3\geq -4\times 3\) - step2: Multiply the terms: \(5-4x\geq -12\) - step3: Move the constant to the right side: \(-4x\geq -12-5\) - step4: Subtract the numbers: \(-4x\geq -17\) - step5: Change the signs: \(4x\leq 17\) - step6: Divide both sides: \(\frac{4x}{4}\leq \frac{17}{4}\) - step7: Divide the numbers: \(x\leq \frac{17}{4}\) The solution to the inequality \( \frac{5-4x}{3} \geq -4 \) is \( x \leq \frac{17}{4} \). To graph this inequality, we need to plot the line \( x = \frac{17}{4} \) and shade the region to the left of the line, as the inequality is less than or equal to. The solution set in interval notation is \( (-\infty, \frac{17}{4}] \).