Question

If, A = {3, 5, 7, 9} B = {2, 4, 6, 8, 10} C = {12, 14, 18, 20, 24} D = {21, 26, 31, 36}
(a) State whether true or false.
(i) 13 ∈ C (ii) 6 ∉ A (iii) 9 ∉ A (iv) 24 ∈ C (v) 31 ∈ D (vi) 36 ∉ D (vii) 20 ∉ C (viii) 9 ∈ A​

Answer 1

Answer:

(i) False

(ii) True

(iii) False

(iv) True

(v) True

(vi) False

(vii) False

(viii) True

Answer 2

Answer:

The answer to the given question is explained below.

Step-by-step explanation:

Given :

Four sets with elements were given such as

If, A = {3, 5, 7, 9} B = {2, 4, 6, 8, 10} C = {12, 14, 18, 20, 24} D = {21, 26, 31, 36}

To find :

we have to State whether the given statements are true or false.

Solution :

A set is a collection of well-defined objects.

The elements of the set are represented in between the brackets

for example { set of natural number }

The symbol ∈ denotes belonging to the element of a set and the symbol ∉ denotes not belonging to the element of a set.

(i) 13 ∈ C

The number 13 is not presented in set C.

The answer is false.

(ii) 6 ∉ A

The number 6 is not in set A.

The answer is true

(iii) 9 ∉ A

The number 9 is in set A.

The answer is false

(iv) 24 ∈ C

number 24 presents in set C

The answer is true

(v) 31 ∈ D

31 is present in set D

The answer is true

(vi) 36 ∉ D

36 is present in set D

The answer is false

(vii) 20 ∉ C

20 is present in set C

The answer is false

(viii) 9 ∈ A

9 is present in set A.

The answer is true.

Hence, the answers to the given question are explained above.

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