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
Solution
The truth value of r∨(q∧~p) can be determined as follows:
-
Substitute the given values into the expression: r∨(q∧~p) becomes true ∨ (false ∧ ~true).
-
Evaluate the negation: ~true becomes false, so the expression becomes true ∨ (false ∧ false).
-
Evaluate the conjunction: false ∧ false becomes false, so the expression becomes true ∨ false.
-
Evaluate the disjunction: true ∨ false becomes true.
So, the truth value of r∨(q∧~p) is true.
Similar Questions
If q is true, what is the truth value of r∧q?truefalsecannot be determinedSubmit
If p is true, q is false and r is true, what is the truth value of p∧(q∨r)?
If r is false and s is false, what is the truth value of ~(r∧~s)?truefalsecannot be determinedSubmit
If q is true, r is false and s is false, what is the truth value of ~s∧(r∨q)?
If q is true, r is false, and s is true, what is the truth value of (~s∨q)∨r?truefalsecannot be determinedSubmit
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.