Example 6 - Chapter 1 Class 11 Sets - Part 3

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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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