Question

solve the inequality and graph the solution. -65 < 65(x + 1) 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: Solve the inequality

First, expand the right - hand side: $-65<65(x + 1)$ becomes $-65<65x+65$.
Subtract 65 from both sides: $-65 - 65<65x+65 - 65$, so $-130<65x$.
Divide both sides by 65: $\frac{-130}{65}<\frac{65x}{65}$, which simplifies to $- 2

Step2: Graph the solution

The inequality $x > - 2$ has an open - circle at $x=-2$ (because the inequality is strict, $x$ cannot equal - 2) and the line extends to the right on the number line.

Answer:

The solution of the inequality is $x > - 2$. On the number line, there is an open - circle at $x = - 2$ and the line extends to the right.