Question

set do not follow any particular pattern.
Example 6 State which of the following sets are finite or infinite :
(i) {x: Xe N and (x - 1) (x-2) = 0)
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Answer 1

Answer:

Correct option is

A

(i) only

(i)(x−1)(x−2)=0

⇒x−1=0 or x−2=0

⇒x=1 or x=2, Number of solutions of equation are finite.

(ii){2,3,5,7,11,...}, This set contains infinte number of elements.

(iii){..,1,3,5,7,...}, This set contains infinite number of elements.