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.

Explanation:

Step1: Subtract 6 from both sides

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

Step2: Divide both sides by 2

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

On the number - line:

1. Plot an open circle at \(q=-2\) (because the inequality is \(>\), not \(\geq\)).
2. Draw an arrow to the right of \(q = - 2\) to represent all values of \(q\) greater than \(-2\).

Answer:

The solution of the inequality \(6 + 2q>2\) is \(q>-2\). On the number - line, there is an open circle at \(-2\) and an arrow pointing to the right.