1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ziro4ka [17]
3 years ago
6

Use a truth table to show that P Qand (~PV Q) A (~QV P) are equivalen

Mathematics
1 answer:
kati45 [8]3 years ago
8 0

Answer:  The given logical equivalence is proved below.

Step-by-step explanation:  We are given to use truth tables to show the following logical equivalence :

P ⇔ Q ≡ (∼P ∨ Q)∧(∼Q ∨ P)

We know that

two compound propositions are said to be logically equivalent if they have same corresponding truth values in the truth table.

The truth table is as follows :

P     Q      ∼P     ∼Q     P⇔ Q    ∼P ∨ Q     ∼Q ∨ P        (∼P ∨ Q)∧(∼Q ∨ P)

T     T         F        F             T            T                   T                       T

T     F         F        T             F             F                   T                       F

F     T         T        F             F            T                   F                       F

F     F         T        T             T            T                   T                       T

Since the corresponding truth vales for P ⇔ Q and (∼P ∨ Q)∧(∼Q ∨ P) are same, so the given propositions are logically equivalent.

Thus, P ⇔ Q ≡ (∼P ∨ Q)∧(∼Q ∨ P).

You might be interested in
How would I solve; A bakery has 456 dozen cookies. How many individual cookies are there ?
Over [174]

Hi :")

Answer:

5472

Step-by-step explanation:

a dozen = 12 identical bodies

456 dozen cookies there are

12 x 456 = 5472

Good Luck ;)

#Turkey

6 0
3 years ago
Read 2 more answers
Find the slope from the given table<br>​
KatRina [158]
(8-7)/(-3-0)= -1/3
the slope is -1/3
7 0
3 years ago
Read 2 more answers
The difference between a number and 12 is 20<br><br> Write an equation
Kryger [21]
20 - 12 = x
combine like terms, theres ur answer
5 0
3 years ago
Read 2 more answers
ANSWER CORRECTLY WITH REASONING FOR BRAINLIEST
Vadim26 [7]

Answer:false

Step-by-step explanation:because jaya is not giving her opinion she is asking for others opinions.

4 0
3 years ago
Out of every 6 students surveyed, 1 listen to country music. At that rate, how many students in a school of 1200 listens to coun
Degger [83]

Answer: 200

Step-by-step explanation:

1200 divided by 6 = 200

6 0
3 years ago
Other questions:
  • Is -2.75 an integer?
    14·2 answers
  • How do u turn a fraction into a percent
    7·2 answers
  • BRAINLIEST!!<br> 17. Complete the statement about parallelogram ABCD.<br> ∠BDC ____
    12·2 answers
  • Of 19 possible​ books, you plan to take 6 with you on vacation. How many different collections of 6 books can you​ take?
    13·1 answer
  • I am a line segment where 2 faces of a polyhedron interse what am i?
    12·2 answers
  • HELP PLEASE ASAP!!!!
    7·1 answer
  • What does how many more mean
    6·1 answer
  • -8 + x = 12<br> I don't get it and i need help
    13·1 answer
  • What is the speed of a wave that has a frequency of 900 HZ and a wavelength of 2.3 m?
    14·1 answer
  • YOUR SCORE:
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!