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Summary Task 4 Ordering 2nd revision.docx Task 4 Finite Mathematics Task 4: Ordering Given the following: Let x and y be positive integers when completing part A. A. Explain why it is incorrect to claim that x ˆš y is always irrational. It is incorr $7.49   Add to cart

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Summary Task 4 Ordering 2nd revision.docx Task 4 Finite Mathematics Task 4: Ordering Given the following: Let x and y be positive integers when completing part A. A. Explain why it is incorrect to claim that x ˆš y is always irrational. It is incorr

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Task 4 Ordering 2nd Task 4 Finite Mathematics Task 4: Ordering Given the following: Let x and y be positive integers when completing part A. A. Explain why it is incorrect to claim that x ˆš y is always irrational. It is incorrect to claim that x ˆš y is always irrational b...

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  • May 27, 2021
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Task 4
Finite Mathematics Task 4:

Ordering


Given the following: Let x and y be positive integers when completing part A.
x
A. Explain why it is incorrect to claim that is always irrational.

y

x
It is incorrect to claim that is always irrational because y may be a perfect square

y

which would make the denominator an integer, or a rational number. An irrational number is one

that the numbers after the decimal do not repeat or terminate. If a perfect square is a number that

is the square of a whole number, then not all square roots will be irrational because the square

root of a perfect square is a whole number. A whole number has a decimal that terminates, which

would make it a rational number. So, if x∧ y are both positive integers, and y is a perfect

square then the number would be rational.


Given: 0 <A <B, complete part B.
B. Explain why it is correct to claim that AB
is true.
B <A

It is correct to claim that A<B is true, because B would always be larger than a
B A A

whole and A would always be a fraction of a whole. If A <B, then the fraction A will
B B


always be less than the fraction B. In the fraction A , A would be a part of the whole B,
A B


and when the fraction is inverted to B , then it would become an improper fraction.
A

, An improper fraction has a numerator that is greater than its denominator, and if B > A, then the

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