Question

Find the inequality of |x-2|+4 more than equal to 10

Answer 1

Answer:

x ∈ [ - ∞, - 4] ∪ [8, ∞]

Step-by-step explanation:

|x - 2| + 4 ≥ 10

|x - 2| ≥ 10 - 4

|x - 2| ≥ 6

1). x - 2 ≥ 6 ⇒ x ≥ 8

2). - (x - 2) ≥ 6

x - 2 ≤ - 6 ⇒ x ≤ - 4

x ∈ [ - ∞, - 4] ∪ [8, ∞]