Question

Check whether the following sets is empty or non-empty. Also write the

cardinality of each set.

(i) A = {x : x ∈ Z and x

2 − 1 = 0}

(ii) B = {x : x ∈ N and 0 < x < 1}
(iii) C = {x : x ∈ Z and 4x

2 − 1 = 0}

(iv) D = {x : x ∈ Q and 4x

2 − 1 = 0}

(v) E = {x : x is an irrational number and x

2 − 1 = 0}

(vi) F =



n

n + 1

, n ∈ N

​

Answer 1

Answer:

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