Question

Solve the following and graph the solutions:

Answer 1

Solving Compound Inequalities

Answer:

The third Choice

$x > 1 \text{ or } x < -1$

Please refer to the attached image for the graph

Step-by-step explanation:

Given:

$2x +1 > 3 \text{ or } 2x -1 < -3$

Let's solve for the $2x +1 > 3$ part of the Compound Inequality first.

$2x +1 > 3 \\ 2x > 3 -1 \\ 2x > 2 \\ x > \frac{2}{2} \\ x > 1$

Now, let's solve $2x -1 < -3$:

$2x -1 < -3 \\ 2x < -3 +1 \\ 2x < -2 \\ x < \frac{-2}{2} \\ x < -1$

We can now rewrite our Compound Inequality as $x > 1 \text{ or } x < -1$