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.