Question

solve the inequality and graph the solution.
\\(\frac{l}{4} \geq 2\\)
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.
\\(\longleftarrow\hspace{1em}0\hspace{1em}1\hspace{1em}2\hspace{1em}3\hspace{1em}4\hspace{1em}5\hspace{1em}6\hspace{1em}7\hspace{1em}8\hspace{1em}9\hspace{1em}10\longrightarrow\\)
submit

Explanation:

Step1: Solve the inequality

To solve \(\frac{l}{4} \geq 2\), we multiply both sides of the inequality by 4 to isolate \(l\).

$$ \frac{l}{4} \times 4 \geq 2 \times 4 $$

Simplifying both sides, we get \(l \geq 8\).

Step2: Graph the solution

On the number line, we plot a closed endpoint at 8 (since the inequality is "greater than or equal to") and draw an arrow to the right (indicating all numbers greater than or equal to 8 are part of the solution).

Answer:

The solution to the inequality \(\frac{l}{4} \geq 2\) is \(l \geq 8\). For the graph, plot a closed circle at 8 and draw an arrow pointing to the right along the number line.