16 - Inequalities And Absolute Values

Question 1

Solve (x-12) ² > 169

Answer 1

|x - 12|>13 -> remember: x-12 could be positive or negative

Question 2

225 < x ² < 400

Answer 2

15 < |x| < 20

15 < x < 20
OR
-15 < x < -20

Question 3

If |x ² -12| = x what is the approach for solving

Answer 3

1. solving quadratic functions (both with pos and neg version)
2. only accepting positive solutions