Which of the following statements related to Boolean algebra is FALSE?

Correct option is B

​$$X \cdot (\overline{X} + \overline{X}Y) = 1$$

Apply Distributive Law to $$\dot (\overline{X} + \overline{X}Y)$$

$$\overline{X} + \overline{X}Y = \overline{X} \quad \text{(Absorption Law: } A + AB = A \text{)}$$

Substituting: $$X \cdot (\overline{X} + \overline{X}Y) = X \cdot \overline{X} = 0$$

This statement is FALSE because the result is 0, not 1.​​​​​