Question

A={x ∈IR /− 3 ≤ x ≤ 4 } B = {x ∈IR / 3 < x ≤ 5 } e C = x ∈IR /− 2 ≤ x < 4 }
Determine os seguintes intervalos:
a) (B − A) ∩ C
b) A ∩ C

Answer 1

A = {x ∈ IR /− 3 ≤ x ≤ 4 }

B = {x ∈ IR / 3 < x ≤ 5 }

C = x ∈ IR /− 2 ≤ x < 4 }

A)

(B − A) ∩ C =

(B - A ) = ]4,5] = {x ∈ IR / 4 < x ≤ 5 }

]4,5] ∩ [-2,4] = ∅

B)

A ∩ C = [-2,4[ = {x ∈ IR /− 2 ≤ x < 4 }