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Byju's Answer

Standard VIII

Mathematics

Cardinality of Sets

If A is a sub...

Question

If A is a subset of B, then A - B is ___.

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a null set

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a singleton set

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Solution

The correct option is C
a null set

∅

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Similar questions

If A is a subset of B, then A - B is ___.

Show that if A is a subset of B then C-B is a subset of C-A

Q. If

A

is subset of

B

and

B

is a subset of

C

, then prove that

A

is subset of

C

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 $x \in A$ and $A \in B$ then $x \in B$

(ii) If $A \subset B$ and $B \in C$ then $A \in C$

(iii) If $A \subset B$ and $B \subset C$ then $A \subset C$

(iv) If $A \subset̸ B$ and $B \subset̸ C$ then $A \subset̸ C$

(v) If $x \in A$ and $A \subset̸ B$ then $x \in B$

(vi) If $A \subset B$ and $x \notin B$ then $x \notin A .$

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

and

A \in B

, then

x \in B

(i i)

A \subset B

and

B \in C

, then

A \in C

(i i i)

A \subset B

and

B \subset C

, then

A \subset C

(i v)

A \subset̸ B

and

B \subset̸ C

, then

A \subset̸ C

(v)

x \in A

and

A \subset̸ B

, then

x \in B

(v i)

A \subset B

and

x \notin B

, then

x \notin A

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If A is a subset of B, then A - B is ___.

The correct option is C a null set ∅

The correct option is C
a null set

∅