Which of the following pairs of sets are disj | vedclass

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(C) Two sets are disjoint if their intersection is an empty set,i.e.,they have no common elements.$(i)$ The set ${x : x in mathbb{N}, 4 \leq x \leq 6}

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$(iii)$

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(C) Two sets are disjoint if their intersection is an empty set,i.e.,they have no common elements.$(i)$ The set ${x : x in mathbb{N}, 4 \leq x \leq 6} = {4, 5, 6}$. The intersection of ${1, 2, 3, 4}$ and ${4, 5, 6}$ is ${4}$. Since they have a common element,they are not disjoint.$(ii)$ The sets ${a, e, i, o, u}$ and ${c, d, e, f}$ have the element $e$ in common. Thus,they are not disjoint.$(iii)$ The set of even integers and the set of odd integers have no common elements because an integer cannot be both even and odd simultaneously. Therefore,their intersection is $emptyset$. Thus,they are disjoint sets.

Which of the following pairs of sets are disjoint?
$(i)$ ${1, 2, 3, 4}$ and ${x : x in mathbb{N}, 4 \leq x \leq 6}$
$(ii)$ ${a, e, i, o, u}$ and ${c, d, e, f}$
$(iii)$ ${x : x \text{ is an even integer}}$ and ${x : x \text{ is an odd integer}}$

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Which of the following pairs of sets are disjoint?$(i)$ ${1, 2, 3, 4}$ and ${x : x in mathbb{N}, 4 \leq x \leq 6}$$(ii)$ ${a, e, i, o, u}$ and ${c, d, e, f}$$(iii)$ ${x : x \text{ is an even integer}}$ and ${x : x \text{ is an odd integer}}$