Shopping for Fruit

The following is a set describing the food available at a cafeteria. Which of the choices is a subset of the menu that contains only fruit?

Menu = { pizza , carrots , cheese , bananas , apples , steak , oranges } \text{Menu} = \{\text{pizza}, \text{carrots}, \text{cheese}, \text{bananas}, \text{apples}, \text{steak}, \text{oranges}\}

{ steak , apples , cheese } \{\text{steak}, \text{apples}, \text{cheese}\} { steak , oranges } \{\text{steak}, \text{oranges}\} { oranges , apples , bananas } \{\text{oranges}, \text{apples}, \text{bananas}\} { oranges , apples , bananas , pears , grapes } \{\text{oranges}, \text{apples}, \text{bananas}, \text{pears}, \text{grapes}\}

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2 solutions

Karleigh Moore
Apr 26, 2016

The only choices that are sets of fruit are { oranges , apples , bananas , pears , grapes } \{\text{oranges},\text{apples},\text{bananas},\text{pears},\text{grapes}\} and { oranges , apples , bananas } \{\text{oranges},\text{apples},\text{bananas}\} . However, in the original set, "pears" and "grapes" are not included, therefore, { oranges , apples , bananas } \{\text{oranges},\text{apples},\text{bananas}\} is the correct answer.

Pham Khanh
Apr 22, 2016

It is the subset of fruits so there are just 2 subsets: A = { oranges , apples , bananas , pears , grapes } a n d B = { oranges , apples , bananas } A=\{\text{oranges}, \text{apples}, \text{bananas}, \text{pears}, \text{grapes}\}~and~B=\{\text{oranges}, \text{apples}, \text{bananas}\} But in B, it has p e a r s a n d g r a p e s |pears|~and~|grapes| elements which are not in M e n u Menu , so the answer is { oranges , apples , bananas } \boxed{\{\text{oranges}, \text{apples}, \text{bananas}\}}

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