Question

. If A = {XR : x2
– 5x + 6 = 0) and B = {XR : X2
= 9} find A x B

Answer 1

Answer:

3

Step-by-step explanation:

◾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 }

__________

Thanks..