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Masteriza [31]
3 years ago
13

Max and Emma are discussing their math homework and disagree on the answer for one question. Max says that integers are closed u

nder division because 8 divided by 2 is 4. Emma disagrees and says integers are not closed under division because 7 divided by 2 is 3.5, which is not an integer. Who is correct?

Mathematics
1 answer:
hram777 [196]3 years ago
4 0

A set has closure under an operation if performance of that operation on members of the set always produces a member of the same set; in this case we also say that the set is closed under the operation.

A closure property is a certain rule that holds <u>if it is true for all elements of a set under the given operation</u> and a closure property does not hold <u>if there is at least one pair of elements that do not follow the closure property under the given operation.</u>

Therefore, Emma is correct, because you can find a counterexample (7:2=3.5) that gives you a non-integer answer.

Answer: correct option is B

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astraxan [27]

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Let x represents the number of pants and y represents the number of shirts.

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Since, a clothing store are selling pants for $8.99 and shirts for $3.99

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Also, it is given that: You can spend as much as $60 and want to buy at least two pairs of pants.

then, we have the equation of inequality;

8.99x + 3.99y \leq 60 ;......[1]         where x, y are natural number.

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Substitute the value y= 0  in [1] and solve for x;

8.99x + 3.99(0) \leq 60

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For y-intercept:

Substitute the value x= 0  in [1] and solve for x;

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