Question

Practice set 1.3
) 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 ?
B
the cot of natural numbers from 1 to 20 as universal set and show set​

Answer 1

Answer:

find the rational number between 1/3 and 1/2

Answer 2

Step-by-step explanation:

We have, A = {a , b, c, d, e}, B = {c, d, e, f }, C = {b, d}, D = {a, e}

 

 

(i) Since, b∈C but b∉Bb∈C but b∉B

So, C ⊆⊆ B is false.

(ii) Since, b∈A but b∉Db∈A but b∉D

So, A ⊆⊆ D is false.

(iii) Since, a∈D but a∉Ba∈D but a∉B

So, D ⊆⊆ B is false.

(iv) Since, all elements of set D is in set A.

So, D ⊆⊆ A is true.

(v) Since, f∈B but f∉Af∈B but f∉A

So, B ⊆⊆ A is false.

(vi) Since, all elements of set C is in set A.

So, C ⊆⊆ A

We have,

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20};

X = {x | x∈∈ N, and 7 < x < 15} = {8, 9 ,10, 11, 12, 13, 14}; and

Y = {y | y ∈∈N, y is prime number from 1 to 20} = {2, 3, 5, 7, 11, 13, 17, 19}