If A = {a, b, c, d, e}, B = {c, d, e, f}, C = {b, d}, D = {a, e}, then

1.	If A = {a, b, c, d, e}, B = {c, d, e, f}, C = {b, d}, D = {a, e}, then which of the following statements are true and which are false? i. C ⊆ 3 ii. A ⊆ D iii. D ⊆ B iv. D ⊆ A v. B ⊆ A vi. C ⊆ A
Answer» i. C = {b, d}, B = {c, d, e ,f} C ⊆ B False Since, all the elements of C are not present in B. ii. A = {a, b, c, d, e}, D = {a, e} A ⊆ D False Since, all the elements of A are not present in D. iii. D = {a, e}, B = {c, d, e, f} D ⊆ B False Since, all the elements of D are not present in B. iv. D = {a, e}, A = {a, b, c, d, e} D ⊆ A True Since, all the elements of D are present in A. v. B = {c, d, e, f}, A = {a, b, c, d, e} B ⊆ A False Since, all the elements of B are not present in A. vi. C = {b, d}, A = {a, b, c, d, e} C ⊆ A True Since, all the elements of C are present in A.

If A = {a, b, c, d, e}, B = {c, d, e, f}, C = {b, d}, D = {a, e}, then which of the following statements are true and which are false? i. C ⊆ 3 ii. A ⊆ D iii. D ⊆ B iv. D ⊆ A v. B ⊆ A vi. C ⊆ A

Answer»

i. C = {b, d}, B = {c, d, e ,f}

C ⊆ B

False

Since, all the elements of C are not present in B.

ii. A = {a, b, c, d, e}, D = {a, e}

A ⊆ D

False

Since, all the elements of A are not present in D.

iii. D = {a, e}, B = {c, d, e, f}

D ⊆ B

False

Since, all the elements of D are not present in B.

iv. D = {a, e}, A = {a, b, c, d, e}

D ⊆ A

True

Since, all the elements of D are present in A.

v. B = {c, d, e, f}, A = {a, b, c, d, e}

B ⊆ A

False

Since, all the elements of B are not present in A.

vi. C = {b, d}, A = {a, b, c, d, e}

C ⊆ A

True

Since, all the elements of C are present in A.