Question

. List 6 sets of integer values that satisfy ⎪x - y⎥ > 2.

Answer 1

Answer:

{ (x, y) : y > x + 2 } ∪ { (x, y) : y < x - 2 }

Step-by-step explanation:

⎪a⎥ = $\left \{ {{a , if a\geq 0 } \atop {-a,if a<0}} \right.$  

⎪x - y⎥ > 2

(1) If (x - y) ≥ 0 , then x - y > 2 ⇔ y < x - 2

(2) If (x - y) < 0 , then - (x - y) > 2 ⇔ y > x + 2

{ (x, y) : y > x + 2 } ∪ { (x, y) : y < x - 2 }