Which of the following pairs of sets are disj | vedclass

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(A) Two sets are disjoint if their intersection is the empty set,denoted by $\varnothing$.Let $A = \{ x : x 	ext{ is an even integer} \}$ and $B = \{

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$A$ and $B$ are disjoint

Vedclass · Answer

(A) Two sets are disjoint if their intersection is the empty set,denoted by $\varnothing$.Let $A = \{ x : x 	ext{ is an even integer} \}$ and $B = \{ x : x 	ext{ is an odd integer} \}$.The intersection of $A$ and $B$ is given by:$A \cap B = \{ x : x 	ext{ is an even integer and } x 	ext{ is an odd integer} \}$.Since no integer can be both even and odd,$A \cap B = \varnothing$.Therefore,the pair of sets $A$ and $B$ is disjoint.

Which of the following pairs of sets are disjoint?
$A = \{ x : x \text{ is an even integer} \}$
$B = \{ x : x \text{ is an odd integer} \}$

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Which of the following pairs of sets are disjoint?$A = \{ x : x \text{ is an even integer} \}$$B = \{ x : x \text{ is an odd integer} \}$