If q is true and r is true, what is the truth value of ~q∨~r?truefalsecannot be determinedSubmit
Question
If q is true and r is true, what is the truth value of ~q ∨ ~r?
- true
- false
- cannot be determined
Solution
The statement "~q∨~r" is a logical disjunction which means "not q OR not r".
Given that q is true and r is true, let's evaluate the statement:
- ~q (not q) would be false, because q is true.
- ~r (not r) would also be false, because r is true.
In a logical disjunction (OR), the statement is true if at least one of the components is true. However, in this case, both ~q and ~r are false.
Therefore, the truth value of "~q∨~r" is false.
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