Question

solve the inequality and graph the solution.
\\( \frac { w } { - 2 } < 3 \\)
plot the endpoints. select an endpoint to change it from closed to open. select the
middle of the segment, ray, or line to delete it.

Explanation:

Step1: Multiply both sides by -2

When multiplying an inequality by a negative number, the inequality sign flips.
$$\frac{w}{-2}\times(-2)>3\times(-2)$$

Step2: Simplify

Simplify the left - hand side and the right - hand side of the inequality.
$$w > - 6$$

Answer:

The solution of the inequality is \(w > - 6\). On the number line, we have an open circle at \(-6\) (because \(-6\) is not included in the solution set) and a ray extending to the right.