Question

Find the set of the solutions for each of the following Absolute Value Inequalities. Check your answers.

Answer 1

|2 - (3/5)k| ≥ 6

2 - (3/5)k ≤ -6 or 2 - (3/5)k ≥ 6

(-3/5)k ≤ -8 or (-3/5)k ≥ 4

k ≥ 40/3 or k ≤ -20/3

k ≤ -6 2/3 or k > 13 1/3

Let k = 14: |2 - (3/5)(14)| = 6.4 > 6

Let k = -7: |2 - (3/5)(-7)| = 6.2 > 6