Determine intersections and unions of sets using interval notation.

Question

Given the sets A and B expressed in interval notation, find A⋂B.

A = (-∞, 46)⋃[84, +∞)

B = [-83, 88]

Answer 1

A = (-∞, 46) U [84, ∞) = (-∞, -83) U [-83, 46) U [84, 88] U (88, ∞)

B = [-83,88] = [-83, 46) U [46, 84) U [84, 88]

Then, A ∩ B = ((-∞, 46) U [84, ∞)) ∩ [-83,88] =

((-∞, -83) U [-83, 46) U [84, 88] U (88, ∞)) ∩ ([-83, 46) U [46, 84) U [84, 88]) =

[-83, 46) U [84, 88]