Question

solve the inequality and graph the solution.
2/ + 6 > 2
plot the endpoints. select an endpoint to change it from closed to open. select middle of the segment, ray, or line to delete it.

Explanation:

Step1: Subtract 6 from both sides

$$2j+6 - 6>2 - 6$$
$$2j>-4$$

Step2: Divide both sides by 2

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

Answer:

The solution of the inequality \(2j + 6>2\) is \(j>-2\). On the number - line, we plot an open circle at \(j = - 2\) (because the inequality is strict, i.e., \(>\) not \(\geq\)) and draw a ray to the right of \(j=-2\).