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(x ∨ z) ∧ (¬x ∨ y) ∧ (z ∨ y)

Question

(x ∨ z) ∧ (¬x ∨ y) ∧ (z ∨ y)

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Solution

To answer the given question, we will break down the expression step by step:

  1. (x ∨ z): This represents the logical OR operation between variables x and z. It evaluates to true if either x or z (or both) are true.

  2. (¬x ∨ y): This represents the logical OR operation between the negation of x and y. It evaluates to true if either x is false or y is true (or both).

  3. (z ∨ y): This represents the logical OR operation between variables z and y. It evaluates to true if either z or y (or both) are true.

  4. Now, we have three separate expressions connected by the logical AND operation (∧). The logical AND operation evaluates to true only if all the connected expressions are true.

  5. Combining the three expressions, we have: (x ∨ z) ∧ (¬x ∨ y) ∧ (z ∨ y)

To evaluate this expression, we need the truth values of the variables x, y, and z. Once we have the truth values, we can substitute them into the expression and determine the final truth value.

This problem has been solved

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