The survey of one thousand people found that 70% of the people have a CD player, 85% have a...
Question:
The survey of one thousand people found that {eq}70 \% {/eq} of the people have a CD player, {eq}85 \% {/eq} have a telephone, and {eq}45.2 \% {/eq} have a computer.
At least how many people have all three objects?
Intersection of Sets
The intersection of sets is a collection of elements that are common to the given sets. For two sets {eq}\alpha {/eq} and {eq}\beta {/eq}, the intersection is computed by the following property:
{eq}\alpha \cap \beta = \beta - \alpha' {/eq}
where {eq}\alpha' {/eq} represent the elements that are not in {eq}\alpha {/eq} set.
Answer and Explanation: 1
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View this answerLet's assign each category as
{eq}\text{CD player} = A = 70\% \times 1000 = 700 \\ \text{telephone} = B = 85\% \times 1000 = 850 \\ \text{computer}...
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Mathematical Sets: Elements, Intersections & Unions
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Mathematical sets are collections of objects or concepts that can be joined together to become mathematical building blocks. Learn about mathematical sets and understand their function in mathematics. Explore the roles of elements, intersections, and unions in mathematical sets.
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