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.

Solve the compound inequality −24 ≤ −3x − 3 or −39 > −3x − 3, and learn how to graph the solution on a number line. This solution includes key concepts such as solving linear inequalities and handling inequalities when multiplied by a negative number. Perfect for Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation