Question

solve the inequality and graph the solution.
$s \leq 8 \div 2$
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.

Explanation:

Step1: Simplify the right - hand side

First, we calculate the value of \(8\div2\). According to the basic division operation, \(8\div2 = 4\). So the inequality \(s\leq8\div2\) simplifies to \(s\leq4\).

Step2: Graph the solution

To graph the solution \(s\leq4\) on the number line:

• The endpoint of the ray is at \(4\). Since the inequality is "less than or equal to", we use a closed dot at \(4\) (a closed dot indicates that \(4\) is included in the solution set).
• Then, we draw a ray to the left of \(4\) because all values of \(s\) that are less than or equal to \(4\) are to the left of \(4\) on the number line.

Answer:

The solution to the inequality is \(s\leq4\). The graph has a closed dot at \(4\) and a ray pointing to the left.