If r is false and s is false, what is the truth value of ~(r∧~s)?truefalsecannot be determinedSubmit
Question
If r is false and s is false, what is the truth value of ~(r ∧ ~s)?
true
false
cannot be determined
Submit
Solution
The given statement is ~(r∧~s). We know that r is false and s is also false.
Step 1: Substitute the values of r and s in the given statement. So, it becomes ~(false∧~false).
Step 2: The negation of false (~false) is true. So, the statement now becomes ~(false∧true).
Step 3: The conjunction (AND operation) of false and true is false. So, the statement now becomes ~false.
Step 4: The negation of false is true. So, the truth value of ~(r∧~s) is true.
Similar Questions
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 true, what is the truth value of (~s∨q)∨r?truefalsecannot be determinedSubmit
If q is true and r is false, what is the truth value of ~r∧~(q∨r)?truefalsecannot be determinedSubmit
Number of rows appear in the truth table for this compound proposition (p ∧ r ∧ s) ∨ (r ∧ ¬ t) equal 8.Group startsTrue or FalseTrue, unselectedFalse
Select the correct answerThe premises (p ∧ q) ∨ r and r → s imply which of the conclusion?Optionsp ∨ sp ∨ rp ∨ qq ∨ r
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.