State true or false: Rational numbers are not closed under subtraction.

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True

False

answer is B.

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Detailed Solution

Given a statement, rational numbers are not closed under subtraction.
We need to check whether the given statement is true or false.
Take any two rational numbers like

72

and

32

.
Subtract them: i.e.,

72 − 32 = 42 = 21

21

is a rational number.
So, any two rational numbers when subtracted gives a rational number.
Hence, they are closed under the operation of subtraction.
Therefore, the statement is false.
As a result, 2 is the correct option.

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