Question

solve the inequality and graph the solution.
6 + 2q > 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: Subtract 6 from both sides

$$6 + 2q-6>2 - 6$$
$$2q>-4$$

Step2: Divide both sides by 2

$$\frac{2q}{2}>\frac{-4}{2}$$
$$q>-2$$

Answer:

The solution of the inequality is \(q > - 2\). On the number - line, we plot an open circle at \(-2\) (because the inequality is strict, \(q
eq - 2\)) and draw a ray to the right.