Question

Check whether the following sets is empty or non-empty. Also write thecardinality of each set.(i) A = {x : x ∈ Z and x2 − 1 = 0}(ii) B = {x : x ∈ N and 0 < x < 1}(iii) C = {x : x ∈ Z and 4x2 − 1 = 0}(iv) D = {x : x ∈ Q and 4x2 − 1 = 0}(v) E = {x : x is an irrational number and x2 − 1 = 0}(vi) F =nn + 1, n ∈ N​

Answer 1

Answer:

i. Non empty set, |A|=2

ii. Empty set, |B|=0

iii. Empty set, |C|=0

iv. Non empty set, |D|=2

v. Empty set, |E|=0

vi. Non empty set, |F|=infinite