You visited us 2 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Area of Rectangle

Which of the ...

Question

Which of the following statements are true? Give reason to support your answer.
(i) For any two sets A and B either A ⊆ B or B ⊆ A.

Open in App

Solution

Dear student
$False It is not necessary that for any two sets A and B, either A \subseteq B or B \subseteq A, It is not satisfactory always . Let : A = \{1, 2\} and B = \{α, β, γ\} Here, neither A \subseteq B nor B \subseteq A .$
Regards

Suggest Corrections

Similar questions

Q. Which of the following statements are true? Give reason to support your answer.
(i) For any two sets A and B either

A \subseteq B or B \subseteq A;

(ii) Every subset of an infinite set is infinite;
(iii) Every subset of a finite set is finite;
(iv) Every set has a proper subset;
(v) {a, b, a, b, a, b, ...} is an infinite set;
(vi) {a, b, c} and {1, 2, 3} are equivalent sets;
(vii) A set can have infinitely many subsets.

Which of the following statements are true ? Give reason to support your answer.

(i) For any two sets A and B either A $\subseteq$ B or B $\subseteq$ A.

(ii) Every subset of an infinite set is infinite.

(iii) Every subset of a finite set is finite.

(iv) Every set has a proper subset.

(v) {a,b,a,b,a,b....} is an infinite set.

(vi) {a, b, c} and {1, 2, 3} are equivalent sets.

(vii) A set can have infinitely many subsets.

Q. Two dice are thrown. The events

A, B and C

are as follows:

A :

getting an even number on the first die.

B :

getting an odd number on the first die.

C :

getting the sum of the numbers on the dice

\leq 5

i .

State true or false: (give reason for your answer)

A

and

B

are mutually exclusive.

i i .

State true or false: (give reason for your answer)

A

and

B

are mutually exclusive and exhaustive.

i i i .

State true or false: (give reason for your answer)

A = B'

i v .

State true or false: (give reason for your answer)

A

and

C

are mutually exclusive.

v .

State true or false: (give reason for your answer)

A

and

B^{'}

are mutually exclusive.

v i .

State true or false: (give reason for your answer)

A', B', C

are mutually exclusive and exhaustive.

State whether the “Or” used in the following statements is “exclusive “or” inclusive. Give reasons for your answer.

(i) Sun rises or Moon sets.

(ii) To apply for a driving licence, you should have a ration card or a passport.

(iii) All integers are positive or negative.

Q. State whether the " Or" used in the following statements is "exclusive "or" inclusive Give reasons for your answer
(i) Sun rises or Moon sets
(ii) To apply for a driving licence you should have a ration card or a passport
(iii) All integers are positive or negative

Join BYJU'S Learning Program

Which of the following statements are true? Give reason to support your answer. (i) For any two sets A and B either A ⊆ B or B ⊆ A.

Dear student FalseIt is not necessary that for any two sets A and B,either A⊆B or B⊆A,It is not satisfactory always.Let: A=1,2 and B=α,β,γHere, neither A⊆B nor B⊆A. Regards

Which of the following statements are true? Give reason to support your answer.
(i) For any two sets A and B either A ⊆ B or B ⊆ A.

Dear student
$False It is not necessary that for any two sets A and B, either A \subseteq B or B \subseteq A, It is not satisfactory always . Let : A = \{1, 2\} and B = \{α, β, γ\} Here, neither A \subseteq B nor B \subseteq A .$
Regards