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The inequality \( 150 + 24c \leq 2500 \) simplifies to \( c \leq \frac{1175}{12} \), which is approximately \( c \leq 97.92 \).

Thus, the solution to the inequality is \( c \leq 97.92 \).

Would you like any further details on this solution, or do you have any other questions?

Here are five related questions you might be interested in:
1. How do we solve similar linear inequalities step by step?
2. What is the difference between solving an equation and an inequality?
3. How do we handle inequalities when multiplying or dividing by negative numbers?
4. What are the real-world applications of solving inequalities?
5. How do you graph the solution to an inequality on a number line?

**Tip:** When solving inequalities, remember that the direction of the inequality sign flips if you multiply or divide both sides by a negative number.

Solve the inequality: 150 + 24c ≤ 2500.

Learn how to solve the linear inequality 150 + 24c ≤ 2500 with a step-by-step solution. This problem covers key algebraic concepts such as solving linear inequalities and isolating variables. Suitable for students in Grades 6-8.

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