Let A = {x : x² ? 5x + 6 = 0}, B = {2, 4}, C = {4, 5} then A × (B ? C)

Question

Let $A = {x : x^{2} - 5 x + 6 = 0}$ , B = {2, 4}, C = {4, 5} then $A \times (B \cap C)$

Smart Achievers · Accepted Answer

(1)

$A = {x : x^{2} - 5 x + 6 = 0}$

$x^{2} - 5 x + 6 = 0$

$\Rightarrow (x - 3) (x - 2) = 0 \Rightarrow x = 3, 2$

$A = {3, 2}, B = {2, 4}, C = {4, 5}, B \cap C = {4}$

$A \times (B \cap C) = {3, 2} \times {4} = {(3, 4), (2, 4)}$

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