Question

Check whether the following sets is empty or non-empty. Also write the cardinality of each set. (i) A = {x : x ∈ Z and x2−1=0} (ii) B = {x : x ∈ N and 0 <x<1}​

Answer 1

Step-by-step explanation:

A = {x : x ∈ Z and x2−1=0}

x ∈ Z and x2−1=0

x2= 1

X= + 1 X = - 1

A = {-1,1}

n(A) =2

it has two elements

so A is non empty set

(ii) x ∈ N and 0 <x<1

B = {x : x ∈ N and 0 <x<1}

= { }

n(B) = 0

B is an empty set.