CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Subset

Let A,B and C...

Question

Let $A, B$ and $C$ be three sets. If $A \in B$ and $B \subset C$ , is it true that $A \subset C$ ?. If not, give an example.

Open in App

Solution

Let $A = {1}, B = {{1}, 2, 3}$
And $C = {{1}, 2, 3, 4, 5}$
Here, $A \in B$ , also $B \subset C$
Now $1 \in A$ but $1 \notin C$
$∴ A \subset̸ C$

Suggest Corrections

thumbs-up

52

Similar questions

Let A, B ,C be three sets . If A is subset of B abd B belnngs to c, is it true that A belongs to C ? If not given qn example

Q. In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
(i) If

x \in A

A \in B

x \in B

A \subset B

B \in C

A \in C

A \subset B

B \subset C

A C

A \subset̸ B

B \subset̸ C

A \subset̸ C

x \in A

A \subset̸ B

x \in B

A \subset B

x \notin B

x \notin A

A, B

C

be sets such that

ϕ \neq A \cap B \subseteq C

. Then which of the following statements is not true ?

Q. In each of the following, determine whether the statements is true or false. If it is true, prove it. If it is false, give an example.

(i)

x \in A

A \in B

x \in B

(i i)

A \subset B

B \in C

A \in C

(i i i)

A \subset B

B \subset C

A \subset C

(i v)

A \subset̸ B

B \subset̸ C

A \subset̸ C

(v)

x \in A

A \subset̸ B

x \in B

(v i)

A \subset B

x \notin B

x \notin A

A, B

are any two sets and

C \subset A ⋃ B

. Then is it true that

C \subseteq A

C \subseteq B

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon