Math, asked by krishthunder1234, 5 hours ago

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

Answered by amitnrw
0

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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Answered by vaibhav13550
0

Answer:

Option A is the correct answer.

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