Question

solve the inequality and graph the solution.
95 > -95w
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: Divide both sides by -95

When dividing an inequality by a negative number, the inequality sign flips. So $\frac{95}{-95}<\frac{-95w}{-95}$, which simplifies to $- 1

Step2: Rewrite the inequality

We can rewrite $-1 < w$ as $w>-1$.

Answer:

The solution of the inequality is $w > - 1$. On the number - line, we plot an open - circle at $-1$ (because the inequality is strict, $w$ cannot equal $-1$) and draw a ray to the right of $-1$ to represent all the values of $w$ that satisfy the inequality.