Which of the following obey closure property on Integers

4 + 3 = 7

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3 - 4 = - 1

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2 - 3 = - 1

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All the above

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Solution

The correct option is B All the above
$3$ and $4$ are Integers
$3 + 4 = 7$
$7$ is an integer
$3$ and $4$ are Integers
$3 - 4 = - 1$
$- 1$ is an integer
$2 - 3 = - 1$
$- 1$ is an integer
So all the given options obey closure property
So option D is correct.

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Similar questions

Q. Which of these operations does not obey closure property for integers?

Question 22

Which of the following is an example of distributive property of multiplication over addition for rational numbers.
(a) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = [- \frac{1}{4} \times \frac{2}{3}] + [- \frac{1}{4} \times (\frac{- 4}{7})]$
(b) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = [\frac{1}{4} \times \frac{2}{3}] - (\frac{- 4}{7})$
(c) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = \frac{2}{3} + (- \frac{1}{4}) \times \frac{- 4}{7}$
(d) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = {\frac{2}{3} + (\frac{- 4}{7})} - \frac{1}{4}$

Q. Name the property used in each of the following:

\frac{- 3}{2} + (\frac{1}{3} + \frac{4}{7}) = (\frac{- 3}{5} + \frac{1}{3}) + \frac{4}{7}

If $\frac{4}{5} \div \frac{- 2}{3}$ follows closure property of division then the resultant number ____ is a Rational number.

Q. Consider the following complexes:
1.

F e (C O)_{s}

N i (C O)_{4}

K_{4} [F e (C N)_{6}]

N a_{3} [C u (S C N)_{4}]

Which of the above complexes obey

E A N

rule?

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Which of the following obey closure property on Integers

The correct option is B All the above3 and 4 are Integers3+4=77 is an integer3 and 4 are Integers3−4=−1−1 is an integer2−3=−1−1 is an integerSo all the given options obey closure propertySo option D is correct.

The correct option is B All the above
$3$ and $4$ are Integers
$3 + 4 = 7$
$7$ is an integer
$3$ and $4$ are Integers
$3 - 4 = - 1$
$- 1$ is an integer
$2 - 3 = - 1$
$- 1$ is an integer
So all the given options obey closure property
So option D is correct.