State which of the following sets are finite | vedclass

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(A) The given set is defined by the condition $2x - 1 = 0$,which implies $2x = 1$,or $x = \frac{1}{2}$.Since $x$ must be a natural number $(x \in N)$,

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(A) The given set is defined by the condition $2x - 1 = 0$,which implies $2x = 1$,or $x = \frac{1}{2}$.Since $x$ must be a natural number $(x \in N)$,and $\frac{1}{2}$ is not a natural number,there are no elements that satisfy this condition.Therefore,the set is the empty set,denoted by $\phi$.Since the empty set has $0$ elements,it is a finite set.

State which of the following sets are finite or infinite: $\{ x:x \in N \text{ and } 2x - 1 = 0 \}$

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