Question

Which of the following us the solution to 6 | x-9 | > 12?​

Answer 1

x∈ (11, +∞)

x∈ (-∞, 7)

Explanation:

6|x-9|>12 :Split into possible cases

6(x-9)>12, x-9≥0 : solve the inequalities

x>11, x≥9

x<7, x<9 : find the intersections

x∈ (11, +∞)

x∈ (-∞, 7)