Question

How do you solve |x-5|="latex-formula">3

Answer 1

Answer:

x ≥ 8 or x ≤ 2

Step-by-step explanation:

(see attached graphic for reference)

|x-5| ≥ 3   (expand absolute value expression)

(x-5) ≥ 3

x ≥ 3 + 5

x ≥ 8  (first answer)

or

(x-5) ≤ -3

x ≤ -3 + 5

x ≤ 2 (second answer)