Question

Tell whether each statement is always true, sometimes true or never trueA. An integer is a whole numberb. A natural number is a rational numberc. An irrational number is an integer

Answer 1

• Sometimes
• Always
• Never

Explanation:

You want to know whether the given statements are Always, Sometimes, or Never true.

A.

"An integer is a whole number."

The set of whole numbers is the set of non-negative integers. Hence the statement is true if the integer is not negative, but is false for negative integers. It is sometimes true.

B.

"A natural number is a rational number."

A natural number is a positive integer. All integers are rational numbers, so the statement is always true.

C.

"An irrational number is an integer."

Irrational numbers are numbers that cannot be described by the ratio of integers. An integer can always be described by the ratio of integers. The statement is never true.

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