Question

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

$x<0orx\ge 4$

Short answer

Graph the numbers that make both inequalities true:

The solution in interval notation:

$(-\infty ,0)\cup [4,\infty )$

Step-by-step solution

Step 1. Given information 

Consider the inequality

$x<0orx\ge 4$

Step 2. Graph each inequality 

For$x<0$

For$x\ge 4$

Step 3. Graph number that make either one inequality true x < 0 or x ≥ 4

The solution in interval notation

$(-\infty ,0)\cup [4,\infty )$