Question

Decide, among the following Sets are subsets of one and another A = {x:x R and x Satisfy : x ²-4x +3 =0 } B = {1,3}, C = {1,3,5}, D= {4,5,6}​

Answer 1

Step-by-step explanation:

A = {x:x R and x Satisfy : x ²-4x +3 =0 }

First of all factorise x² - 4x + 3 =0

= x² - 3x - x + 3

= x(x - 3) - 1(x - 3)

= (x - 1)(x - 3)

x = 1, 3

3 and 1 are the only solutions of x² - 4x + 3 = 0

Therefore , A = {1, 3}

B = {1,3}

C = {1, 3, 5}

D = {4, 5, 6}

Clearly,

A ⊂ B

B ⊂ A

A ⊂ C

B ⊂ C

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