Answer: Second Option
{x| x< -3 ∪ x > 3}
Step-by-step explanation:
To solve the inequality
[tex]| x | >3[/tex] there are two cases:
Case 1. [tex]x>0[/tex]
[tex]x > 3[/tex]
Case2. [tex]x<0[/tex]
[tex]-x > 3[/tex]
[tex]x < -3[/tex]
The final solution is the union of the solution of each case
This is:
[tex]x < -3[/tex] or [tex]x > 3[/tex]
{x| x< -3 ∪ x > 3}
