Which of the following statements are true ? Give reason to support yo

1.	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. (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.
Answer» 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 ⊆ B or B ⊆ 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.

Answer»

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.