Mathematics, 13.09.2019 19:30 shakira11harvey6
Use a truth table to determine whether the following statement is a contradiction, a tautology or neither. if it is a contradiction or a tautology, verify your answer using logical equivalences. ((p ∨ q) ∧ (p → r) ∧ (∼ r)) → q
Answers: 3
is a tautology.![((p \lor q) \land (p \implies r) \land (\neg r)) \implies q \\\equiv \neg[(p \lor q) \land (p \implies r) \land (\neg r)] \lor q](/tpl/images/0230/1355/56a7a.png)
by implication law![\equiv \neg[(p \lor q) \land (\neg p \lor r) \land (\neg r))] \lor q](/tpl/images/0230/1355/7375b.png)
by implication law
by de Morgan’s law
by Double Negative![\equiv [(\neg p \land \neg q) \lor (p \land \neg r)] \lor r \lor q](/tpl/images/0230/1355/8c693.png)
by de Morgan’s law![\equiv [(\neg p \land \neg q) \lor q] \lor [(p \land \neg r) \lor r]](/tpl/images/0230/1355/a4d3d.png)
by commutative and associative laws![\equiv [(\neg p \lor q) \land (\neg q \lor q)] \lor [(p \lor r) \land (\neg r \lor r)]](/tpl/images/0230/1355/1ad35.png)
by distributive laws
by negation and identity laws
by communicative and associative laws
by negation and domination laws
Another question on Mathematics
Mathematics, 21.06.2019 16:00
Mr and mrs smith buy tickets for themselves and their four children. the cost of an adult ticket is ? 6 more than the adult ticket. the total cost of the six tickets is ? 40.50 work out the cost of an adult ticket. in your working let c be the cost of the child ticket and a be the cost of the adult ticket.
Answers: 1
Mathematics, 21.06.2019 23:30
In a right triangle δabc, the length of leg ac = 5 ft and the hypotenuse ab = 13 ft. find: b the length of the angle bisector of angle ∠a.
Answers: 1
Mathematics, 21.06.2019 23:40
When steve woke up. his temperature was 102 degrees f. two hours later it was 3 degrees lower. what was his temperature then?
Answers: 1
Mathematics, 22.06.2019 00:30
The measures of two supplementary angles are (2x + 10)° and (8x + 10)°. what is the measure of the larger angle? a. 16° b. 44° c. 14° d. 138°
Answers: 2
You know the right answer?
Use a truth table to determine whether the following statement is a contradiction, a tautology or ne...
Questions
English, 02.10.2019 23:30
Mathematics, 02.10.2019 23:30
History, 02.10.2019 23:30
Computers and Technology, 02.10.2019 23:30
Mathematics, 02.10.2019 23:30
English, 02.10.2019 23:30
English, 02.10.2019 23:30
Biology, 02.10.2019 23:30
Mathematics, 02.10.2019 23:30
