Question

8. Which of the following pairs of sets are disjoint (i) {1, 2, 3,4} and {x : x is a natural number and 4 S356 (ii) { a, e, i, o, u } and { c, d, e, f} (ii) {x:x is an even integer } and {.x :x is an odd integer​

Answer 1

Answer:

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.