Let x and y be whole numbers and w and z be rational numbers. Determine whether the following statements are always, sometimes,

Question

2 years ago

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Let x and y be whole numbers and w and z be rational numbers. Determine whether the following statements are always, sometimes,

or never true.
X+Y is a whole number:
X - Y is a whole number:
W + Z is a whole number:
Y + Z is a rational number:
X • Y is a whole number:
Y • W is a rational number:
X % Z is a rational number:

Mathematics

1 answer:

anyanavicka [17] · Answer 1 · 2023-07-19T02:34:27+03:00

The following statements are always true:

X + Y is a whole number:
X • Y is a whole number:

While the following statements are sometimes true

X - Y is a whole number:
W + Z is a whole number:
Y + Z is a rational number:
Y • W is a rational number:
X % Z is a rational number:

<h3>How to determine whether the following statements are always, sometimes, or never true?</h3>

The given parameters are:

Whole numbers = x and y
Rational numbers = w and z

The sum and products of whole numbers are always whole numbers.

This means that, the following statements are always true:

X + Y is a whole number:

X • Y is a whole number:

While the following statements are sometimes true

X - Y is a whole number:

W + Z is a whole number:

Y + Z is a rational number:

Y • W is a rational number:

X % Z is a rational number:

Read more about rational numbers at:

brainly.com/question/27849436

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