Question

solve the inequality and graph the solution.
2(w + 4) > 10
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: Expand the left side

$$2(w + 4)=2w+8$$
So the inequality becomes $2w + 8>10$.

Step2: Subtract 8 from both sides

$$2w+8 - 8>10 - 8$$
$$2w>2$$

Step3: Divide both sides by 2

$$\frac{2w}{2}>\frac{2}{2}$$
$$w > 1$$

To graph the solution:

• Plot an open - circle at \(w = 1\) (because the inequality is \(>\), not \(\geq\)).
• Draw an arrow to the right of \(w = 1\) on the number line.

Answer:

The solution of the inequality \(2(w + 4)>10\) is \(w>1\). On the number - line, there is an open - circle at \(1\) and an arrow pointing to the right.