Question

9. Which of the following is true for the standard sets?
(ARCZ
(B) Z CQ
(C)Z CN
(D) Q CN​

Answer 1

Answer:

B answer is correct by me

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Which of the following is true for the standard sets

(A) R ⊂ Z

(B) Z ⊂ Q

(C) Z ⊂ N

(D) Q ⊂ N

CONCEPT TO BE IMPLEMENTED

SET

A set is a well defined collection of distinct objects

SUBSET

A set S is said to be a subset of T if every element of of S is an element of T

EVALUATION

CHECKING FOR OPTION A

Every real number is not an integer

$\displaystyle \sf{ \frac{1}{2} }$ is a real number but not an integer

So R ⊂ Z is not true

CHECKING FOR OPTION B

Since every integer is a rational number

So Z ⊂ Q is always true

CHECKING FOR OPTION C

Every integer in not a natural number

Since - 1 is an integer but not a natural number

So Z ⊂ N is not true

CHECKING FOR OPTION D

Every rational in not a natural number

Since - 1 is a rational number but not a natural number

So Q ⊂ N is not true

FINAL ANSWER

Hence the correct option is Z ⊂ Q

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