Solve for xx and graph the solution on the number line below.
minus, 24, is less than or equal to, minus, 3, x, minus, 3, or, minus, 39, is greater than, minus, 3, x, minus, 3
−24≤−3x−3or
−39>−3x−3

The graph above shows the solution to the inequality. As you can see:
- The region to the left of 7 (with a closed circle) represents \(x \leq 7\).
- The region to the right of 12 (with an open circle) represents \(x > 12\).

Would you like any further details or clarifications?

Here are 5 related questions for practice:
1. Solve the inequality \( -5x + 4 \geq 19 \).
2. Graph the solution to \( 2x - 1 > 7 \) on a number line.
3. What happens to an inequality when both sides are multiplied by a negative number?
4. How would the solution change if the inequality was \( -24 < -3x - 3 \) instead of \( -24 \leq -3x - 3 \)?
5. Solve \( -2x + 5 \leq 11 \text{ or } x - 3 > 1 \).

**Tip:** When solving inequalities, remember to reverse the inequality sign if you multiply or divide both sides by a negative number.

Solve for x and graph the solution on the number line below: −24 ≤ −3x − 3 or −39 > −3x − 3.

Learn how to solve the linear inequality −24 ≤ −3x − 3 or −39 > −3x − 3 with a detailed solution. Understand the key steps in solving inequalities and graphing solutions on a number line. Suitable for Grades 8-10.

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