Question

Write the sentence as an inequality.

The sum of x and 5 is greater than 6 OR less than 0.

Answer 1

|x+2| > 3

Explanation:

We know that if |x| > a then (-a > x) ∨ (x > a).

(x+5 > 6) ∨ (x+5 < 0) ⇒ (0 > x+5) ∨ (x+5 > 6) |-3 ⇒

⇒ (-3 > x+2) ∨ (x+2 > 3) ⇒ |x+2| > 3