Question

Given A = { x : x^2 -1 < 2 , x ∈ W } , B = { x : x/2 - 1 < 2 , x ∈ W }
List the elements of A and B
Find A ∩ B

Answer 1

Answer:

i.) For A :

x^2 - 1 < 2

x^2 < 3

x < √3

x < 1.73

Therefore, A = { 0, 1 }

For B :

x/2 - 1 < 2

x/2 < 3

x < 6

Therefore, B = { 0, 1, 2, 3, 4, 5}

ii.) { 0, 1 }