Question

Decide, among the following sets, which sets are subsets of one and another:
A= {x: x ∈ R and x satisfy x2 – 8x + 12 = 0},
B = {2, 4, 6},
C = {2, 4, 6, 8…},
D = {6}.
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Answer 1

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According to the question,

We have,

A = {x: x ∈ R and x satisfies x^2 – 8x + 12 =0}

2 and 6 are the only solutions of x^2 – 8x + 12 = 0.

Hence, A = {2, 6}

B = {2, 4, 6},

C = {2, 4, 6, 8 …},

D = {6}

Hence,

D ⊂ A ⊂ B ⊂ C

Hence,

A ⊂ B,

A ⊂ C,

B ⊂ C,

D ⊂ A,

D ⊂ B,

D ⊂ C

Answer 2

Answer:

➡According to the question,

We have,

A = {x: x ∈ R and x satisfies x^2 – 8x + 12 =0}

2 and 6 are the only solutions of x^2 – 8x + 12 = 0.

➡Hence, A = {2, 6}

✔B = {2, 4, 6},

✔C = {2, 4, 6, 8 …},

✔D = {6}

➡Hence,

✔D ⊂ A ⊂ B ⊂ C

➡Hence,

✔A ⊂ B,

✔A ⊂ C,

✔B ⊂ C,

✔D ⊂ A,

✔D ⊂ B,

✔D ⊂ C

Step-by-step explanation:

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