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4 votes
|x - 7| ≥ 1?

what is the solution?

User Replay
by
3.2k points

2 Answers

3 votes

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)

User MatthieuLemoine
by
3.6k points
0 votes

Answer:

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

User MadRabbit
by
3.6k points