Question

. Let = {: 2 − 5 + 6 = 0}, = {: 0 ≤ < 2}, = {, < 3}. Verify (X( ∪ C) = (X) ∪ (AXC)​

Answer 1

For A = {x: x ∊ R, x^2 – 5x + 6 = 0 }

A = { x^2 - 2x - 3x + 6 = 0}

A = { x( x - 2) - 3 ( x - 2) = 0}

∴ A = { 2,3}

B = { x^2 = 9}

∴ B = { 3}

⛶ A ∪ B = { 2,3}

⛶ A ∩ B = { 3 }

⛛ Union of A & B set = All elements of A & B.

⛛ Intersection of A & B set = Common elements in A & B.