Question

solve the inequality and graph the solution.

(\frac{k}{3} leq 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.

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Explanation:

Step1: Solve the inequality

Multiply both sides of the inequality \(\frac{k}{3}\leq2\) by \(3\).
$$\frac{k}{3}\times3\leq2\times3$$

Step2: Simplify the expression

Simplify the left - hand side \(\frac{k}{3}\times3 = k\) and the right - hand side \(2\times3 = 6\). So, \(k\leq6\).

Answer:

The solution of the inequality is \(k\leq6\). To graph it, plot a closed circle at \(6\) (because the inequality is \(\leq\), so \(6\) is included in the solution set) and draw a ray to the left.