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

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

To graph \(q>-2\):

• Plot an open - circle at \(q = - 2\) (because the inequality is strict, \(q

eq - 2\)).

• Draw an arrow to the right (since \(q\) is 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.