Question

Jalen solved the equation Jalen solved the equation |x-2|-1>2 by graphing. Which graph can Jalen use to show his solution?

Answer 1

Answer:

Solution set is (-∞,-1)∪(5, ∞)

Step-by-step explanation:

Concept used:

The solution of the inequality |x| > r

is x < -r or x > r

Given:

$|x-2|-1 > 2$

Adding 1

$|x-2|-1+1 > 2+1$

$|x-2| > 2+1$

$|x-2| > 3$

⇒ x-2 < -3 or x-2 > 3

⇒ x < 2-3 or x > 2+3

⇒ x < -1 or x > 5

⇒ x ∈ (-∞,-1)∪(5, ∞)

solution set is (-∞,-1)∪(5, ∞)

Answer 2

Answer:

A

Step-by-step explanation:

:)