State whether the following sets are finite or infinite.
I.{x:x ∈ N and x is even}
II.{x :x ∈ N and (2x-4) (x-5)=0}
III.The set of factors of 10

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Solution

i. {2, 4, 6, 8…..}. Hence, the set is infinite.
ii. (2x - 4) (x - 5) = 0
⇒ x = 2, 5. Hence, the set is finite.
iii.{1, 2,5, 10}. Hence, the set is finite.

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