the venn diagram shows three types of numbers: odd (o), even (e), and prime (p). which is represented by ∅…
the venn diagram shows three types of numbers: odd (o), even (e), and prime (p). which is represented by ∅? o o∪p o e∩p o o∪e o e∩o
Answer
Explanation:
Step1: Recall set - notation meaning
Union ($\cup$) means all elements in either set, intersection ($\cap$) means elements common to both sets.
Step2: Analyze each option
- $O\cup P$: All odd or prime numbers.
- $E\cap P$: Even and prime numbers (the only number is 2).
- $O\cup E$: All odd or even numbers, which is the set of all integers. Since there are no numbers that are neither odd nor even, the complement of $O\cup E$ in the set of integers is the empty - set $\varnothing$.
- $E\cap O$: There are no numbers that are both even and odd, so $E\cap O=\varnothing$.
Answer:
$E\cap O$