Question

Examine whether the following statements are true or false:
(i) {a, b} ⊄ {b, c, a}
(ii) {a, e} ⊂ {x: x is a vowel in the English alphabet}
(iii) {1, 2, 3} ⊂ {1, 3, 5}
(iv) {a} ⊂ {a. b, c}
(v) {a} ∈ (a, b, c)
(vi) {x: x is an even natural number less than 6} ⊂ {x: x is a natural number which divides 36}
​

Answer 1

$\huge\underline\mathfrak\pink{♡Answer♡}$

(i) False.

Here each element of {a, b} is an element of {b, c, a}.

(ii) True.

We know that a, e are two vowels of the English alphabet.

(iii) False.

2 ∈ {1, 2, 3} where, 2∉ {1, 3, 5}

(iv) True.

Each element of {a} is also an element of {a, b, c}.

(v) False.

Elements of {a, b, c} are a, b, c. Hence, {a} ⊂ {a, b, c}

(vi) True.

{x: x is an even natural number less than 6} = {2, 4}

{x: x is a natural number which divides 36}= {1, 2, 3, 4, 6, 9, 12, 18, 36}

Answer 2

Answer:

hope it helps you friends

(i) False.

Here each element of {a, b} is an element of {b, c, a}.

(ii) True.

We know that a, e are two vowels of the English alphabet.

(iii) False.

2 ∈ {1, 2, 3} where, 2∉ {1, 3, 5}

(iv) True.

Each element of {a} is also an element of {a, b, c}.

(v) False.

Elements of {a, b, c} are a, b, c. Hence, {a} ⊂ {a, b, c}

(vi) True.

{x: x is an even natural number less than 6} = {2, 4}

{x: x is a natural number which divides 36}= {1, 2, 3, 4, 6, 9, 12, 18, 36}