Which of the following statements is false ?
(a) Natural numbers are closed under subtraction
(b) Whole numbers are not closed under subtraction
(c) Integers are closed under subtraction
(d) Rational numbers are closed under subtraction.
Answers
Given : Statements
To Find : Which of the following statements is false
(a) Natural numbers are closed under subtraction
(b) Whole numbers are not closed under subtraction
(c) Integers are closed under subtraction
(d) Rational numbers are closed under subtraction.
Solution:
(a) Natural numbers are closed under subtraction FALSE
2 - 3 = - 1
-1 is not a natural number while 2 and 3 are
Hence Natural numbers are not closed under subtraction
so statement Natural numbers are closed under subtraction is FALSE
(b) Whole numbers are not closed under subtraction - TRUE
for Example 2 - 3 = -1
-1 is not a whole number while 2 and 3 are
(c) Integers are closed under subtraction - TRUE
2 - 3 = -1 all are integers
(d) Rational numbers are closed under subtraction. TRUE
Correct option is : a)
Natural numbers are closed under subtraction is FALSE
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Answer:
Option A is the correct answer.