Question

Se tiene los intervalos: A = [–4 ; 3] , B = [-1 ; 5] y C =]–3 ; 7] . Además: (A ∪ C) ∩ (B A) = ]x; y] . Calcula el valor de x + y

Answer 1

(A ∪ C) = [–4 ; 3] ∪ [–3 ; 7] = [-4, 7]

(B - A) = [-1 ; 5]  -  [–4 ; 3]  = (3, 5]

(A ∪ C) ∩ (B - A) = [-4, 7] ∩ (3, 5] = (3, 5]

x = 3

y = 5

x + y = 3 + 5 = 8