Question

solve the inequality and graph the solution.
2p + 6 < 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

$$2p+6 - 6<2 - 6$$
$$2p<-4$$

Step2: Divide both sides by 2

$$\frac{2p}{2}<\frac{-4}{2}$$
$$p < - 2$$

To graph the solution:

• Plot an open circle at \(p=-2\) (because the inequality is \(p < - 2\), not \(p\leqslant-2\)).
• Draw an arrow to the left of \(p = - 2\) (since all values less than \(-2\) satisfy the inequality).

Answer:

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