Example 6 State which of the following sets are finite or infinite (iii) {x : x ∈ N and 2x –1 = 0} 2x – 1 = 0 x = 1/2 But x should be a natural number i.e. 1, 2, 3, 4, 5… It cannot be fraction. Thus, the given set has no elements. ∴ Given set = φ (Null set) Since the number of elements of a null set is 0, , the set is finite.

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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