Question

Q) If A = {x:x is a factor of 5}
B = {N:x² - 6x +5=0}
find what is relation between A and B ?​

Answer 1

Step-by-step explanation:

Thus,both A and B are equal.

Answer 2

If A = {x : x is a factor of 5}  and B = {N:x² - 6x +5 = 0} then A = B

Step-by-step explanation:

Given two sets

A = {x:x is a factor of 5}

or, A = {1, 5}

B = {N:x² - 6x + 5=0}

Solving,

x² - 6x + 5 = 0

or, x² - x - 5x + 5 = 0

or, x(x - 1) - 5(x - 1) = 0

or, (x - 5)(x - 1) = 0

or, x = 5, 1

Therefore,

B = {1, 5}

Since all the elements of A are also part of B

Therefore, sets A and B are equal

Hope this answer is helpful.

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