Question

solve the inequality and graph the solution.
h ≤ 6 ÷ 6
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.
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Explanation:

Step1: Simplify the right - hand side

We have the inequality \(h\leq6\div6\). First, calculate \(6\div6\), which is equal to \(1\). So the inequality simplifies to \(h\leq1\).

Step2: Graph the solution

To graph \(h\leq1\) on the number line:

• The endpoint is at \(1\). Since the inequality is "less than or equal to", the endpoint should be a closed circle (to indicate that \(1\) is included in the solution set).
• The arrow should point to the left (because we want all values of \(h\) that are less than or equal to \(1\), so values like \(0, - 1, - 2,\cdots\) are included, which are to the left of \(1\) on the number line).

Answer:

The solution to the inequality is \(h\leq1\). To graph it, place a closed circle at \(1\) on the number line and draw an arrow pointing to the left.