Question

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:

Answer 1

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:

How to determine whether the following statements are always, sometimes, or never true?

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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