Which of the following sets is a joint set( overlapping set) ?(a) A= {

1.	Which of the following sets is a joint set( overlapping set) ?(a) A= {a ,b, c} ; B={ e, f, g}(b) C= {1 ,3, 7} ;D ={ 2, 4, 6}(c) E= Set of odd natural numbers; F= Set of even natural numbers(d)G= Set of prime numbers; H = Set of even numbers
Answer» Answer: (i) A={1,2,3,4} B={x:x is a natural number and 4≤x≤6}={4,5,6} Now, A∩B={1,2,3,4}∩{4,5,6}={4} THEREFORE, this PAIR of sets are not disjoint. (ii) A={a,e,i,o,u} B={c,d,e,f} A∩B={e} Therefore, this pair of sets are not disjoint. (III) A={x:x is an EVEN integer} B={x:xis an odd integer} A∩B=ϕ Therefore, this pair of sets is disjoint. Answer verified by Toppr

Which of the following sets is a joint set( overlapping set) ?(a) A= {a ,b, c} ; B={ e, f, g}(b) C= {1 ,3, 7} ;D ={ 2, 4, 6}(c) E= Set of odd natural numbers; F= Set of even natural numbers(d)G= Set of prime numbers; H = Set of even numbers

Answer»

Answer:

(i) A={1,2,3,4}

B={x:x is a natural number and 4≤x≤6}={4,5,6}

Now, A∩B={1,2,3,4}∩{4,5,6}={4}

THEREFORE, this PAIR of sets are not disjoint.

(ii) A={a,e,i,o,u}

B={c,d,e,f}

A∩B={e}

Therefore, this pair of sets are not disjoint.

(III) A={x:x is an EVEN integer}

B={x:xis an odd integer}

A∩B=ϕ

Therefore, this pair of sets is disjoint.

Answer verified by Toppr