https://file.aiquickdraw.com/mathbot/file/1725587706013zorzkyy1.jpg

The inequality given in the image is:

\[
4 \geq 2x
\]

### Solving for \( x \):

1. Start by dividing both sides of the inequality by 2 to isolate \( x \):
   \[
   \frac{4}{2} \geq \frac{2x}{2}
   \]
   Simplifying:
   \[
   2 \geq x \quad \text{or} \quad x \leq 2
   \]

So, the solution is:
\[
x \leq 2
\]

### Inequality Notation:
\[
x \leq 2
\]

### Graphing on the Number Line:
- Since \( x \leq 2 \), we place a **filled circle** on 2, indicating that 2 is included in the solution.
- We shade the number line to the left of 2, indicating all values less than or equal to 2 are part of the solution.

Would you like further details on this solution or the graph? Here are some related questions:

1. How do you handle inequalities with negative coefficients?
2. What happens when dividing both sides of an inequality by a negative number?
3. Can you solve a compound inequality and graph it?
4. How do you express inequality solutions in interval notation?
5. What is the difference between strict inequalities (\(<\), \(>\)) and inclusive inequalities (\(\leq\), \(\geq\))?

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

Solve for x and graph the solution on the number line: 4 >= 2x

Learn how to solve the inequality 4 ≥ 2x and graph the solution on a number line. This problem involves basic algebra and inequality concepts suitable for Grades 6-8. The step-by-step solution includes dividing both sides of the inequality and graphing the result.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation