Question

solve the inequality and graph the solution.
2m ≤ 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: Isolate the variable m

To solve the inequality \(2m \leq 6\), we divide both sides by 2. Since 2 is a positive number, the direction of the inequality sign remains the same.

$$ \frac{2m}{2} \leq \frac{6}{2} $$

Step2: Simplify both sides

Simplifying the left side gives \(m\) and simplifying the right side gives 3. So we have:

$$ m \leq 3 $$

For graphing, we plot a closed dot at 3 (because the inequality is "less than or equal to") and draw an arrow to the left to represent all numbers less than or equal to 3.

Answer:

The solution to the inequality is \(m \leq 3\). For the graph, place a closed endpoint at 3 on the number line and draw an arrow pointing to the left (towards values less than 3).