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If p is true, q is false, and r is true, what is the truth value of r∨(q∧~p)?truefalsecannot be determinedSubmit

Question

If p is true, q is false, and r is true, what is the truth value of r∨(q∧~p)?truefalsecannot be determinedSubmit

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Solution

The truth value of r∨(q∧~p) can be determined as follows:

  1. Substitute the given values into the expression: r∨(q∧~p) becomes true ∨ (false ∧ ~true).

  2. Evaluate the negation: ~true becomes false, so the expression becomes true ∨ (false ∧ false).

  3. Evaluate the conjunction: false ∧ false becomes false, so the expression becomes true ∨ false.

  4. Evaluate the disjunction: true ∨ false becomes true.

So, the truth value of r∨(q∧~p) is true.

This problem has been solved

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