Question

16. LetA= {x:x^2–5x+6=0, xeR} and B={x:x^2=9, XER}
i. Write A and B in the roster form.
i Find A-B and B-A.

Answer 1

Answer:

__________

◾We have,

x^2 - 5x + 6 = 0

Or, x^2 - 2x - 3x + 6 = 0

Or, x(x - 2) - 3(x - 2) = 0

Or, (x - 2)(x - 3) = 0

Or, x = 2, 3

✨ Thus, A = { 2, 3 }

◾Again,

x^2 = 9

Or, x^2 - 9 = 0

Or, x^2 - 3x + 3x - 9 = 0

Or, x(x - 3) + 3(x - 3) = 0

Or, (x - 3)(x + 3) = 0

Or, x = 3, - 3

✨Thus, B = { 3, - 3 }

⚠️ Now,

A union B will be

= { 2, 3, - 3}

⚠️ And,

A intersect B will be

= { 3 }

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Thanks..

Step-by-step explanation: