Question

Solve each inequality, graph the solution, and write the solution in interval notation.

$x\le -2orx>3$

Short answer

Graph the numbers that make both inequalities true:

The solution in interval notation:

$(-\infty ,-2]\cup (3,\infty )$

Step-by-step solution

Step 1. Given information  

Consider the inequality

$x\le -2orx>3$

Step 2. Graph each inequality 

For$x\le -2$

For$x>3$

Step 3. Graph number that make either one inequality true x ≤ −2 or x > 3

The solution in interval notation.

$(-\infty ,-2]\cup (3,\infty )$