Question

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

$x<2orx\ge 5$

Short answer

Graph the numbers that make both inequalities true:

The solution in interval notation:

$(-\infty ,2)\cup [5,\infty )$

Step-by-step solution

Step 1. Given information  

Consider the inequality

$x<2orx\ge 5$

Step 2. Graph each inequality 

For$x<2$

For$x\ge 5$

Step 3. Graph number that make either one inequality true   x < 2 or x ≥ 5

The solution in interval notation

$(-\infty ,2)\cup [5,\infty )$