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Byju's Answer

Standard XII

Mathematics

Subset

Let A =2,4,6 ...

Question

Let $A = {2, 4, 6}$ and $B = {x : x is an even natural number less than 8}$ , then which of the following is/are correct?

A \subset B

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B \subset A

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A \neq B

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n (A) < n (B)

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Solution

The correct options are
A $A \subset B$
B $B \subset A$
Given $A = {2, 4, 6}$
$B = {2, 4, 6}$
Therefore ,
$A \subset B$
$B \subset A$
$A = B \Rightarrow n (A) = n (B)$

Suggest Corrections

Similar questions

Q. Let

A = {2, 4, 6}

and

B = {x : x is an even natural number less than 8}

, then which of the following is/are correct?

Q. If A = {

x : x

is an even natural number} and B = {

y : y

is a natural number}, then _______________.

Q. Let

A =

{

x : x

is a natural number

< 11

}

B =

{

x : x

is an even number and

1 < x < 21

}

C =

{

x : x

is an integer and

15 \leq x \leq 25

}
(i) List the element of

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(ii) Find

n (A), n (B), n (C)

.
(iii) State whether the following are True (T) or False (F)
(a)

7 \in B

(b)

16 \notin A

(c)

{15, 20, 25} \subset C

(d)

{10, 12} \subset B

Q. Examine whether the following statements are true or false:

(i) {a, b} \subset̸ {b, c, a}

(i i) {a, e} \subset {x : x

is a vowel in the English alphabet

}

(i i i) {1, 2, 3} \subset {1, 3, 5}

(i v) {a} \subset {a, b, c}

(v) {a} \in {a, b, c}

(v i) {x : x

is an even natural number less than

6} \subset {x : x

is a natural number which divides

36}

If A = {x: x is a natural number}

B = {x: x is an even natural number}

C = {x: x is a prime number}

Then (A $\cup$ B) $\cap$ C =

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Subset

Standard XII Mathematics

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Let A={2,4,6} and B={x:x is an even natural number less than 8}, then which of the following is/are correct?

The correct options are A A⊂B B B⊂AGiven A={2,4,6} B={2,4,6} Therefore , A⊂B B⊂A A=B⇒n(A)=n(B)

Let $A = {2, 4, 6}$ and $B = {x : x is an even natural number less than 8}$ , then which of the following is/are correct?

The correct options are
A $A \subset B$
B $B \subset A$
Given $A = {2, 4, 6}$
$B = {2, 4, 6}$
Therefore ,
$A \subset B$
$B \subset A$
$A = B \Rightarrow n (A) = n (B)$