Question

|x - 7| ≥ 1?

what is the solution?

Answer 1

Answer: Inequality form: x is less then or equal to 6 or xis greater then or equal to 8

Interval Notation: (-infinity,6] u [8,infinity)

Answer 2

x ≤ 6 ∨ x ≥ 8

Explanation:

x-7 ≥ 0

when

x≥7

if x≥7

x-7≥ 1

x ≥ 7 + 1

x ≥ 8

if x < 7

-x + 7 ≥ 1

-x ≥ -7 + 1

-x ≥ -6

x ≤ 6

Final solution

x≤ 6 ∨ x ≥ 8