How do you solve the inequality abs(2-x)-4>=-3 and write your answer in interval notation?

1 Answer
Apr 14, 2017

(-∞, 1] u [3, ∞)

Explanation:

Solve the inequality first, leaving the abs value alone in one side of the equation and then x >= (1+2) and then as we are moving the -1 to the other side of the equation we have to change the inequality sign to <=, leaving x <= (2-1)

|2-x| - 4 >= -3 => |2-x| >= 1 => x >= 3, x <= -1

As interval notation,

(-∞, 1] u [3, ∞)