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
Brainly do ur magic pls.?
jok3333 [9.3K]

1. 3y

multiplying 3 and y together gets 3y

2. y-5

5 less implies that we subtract 5 from y

3. y+7

adding 7 to y, self-explanatory

4. 9y

same thing as #1

5. \frac{y}{8}

quotient of implies division, since number y is listed first, y is the numerator

8 0
3 years ago
5√28+ √63<br> please simplify no exponents please
zaharov [31]

Answer:

34.3948

Step-by-step explanation:

5\sqrt{28} +\sqrt{63} = 13\sqrt{7} = 34.3948

3 0
3 years ago
Read 2 more answers
What is -88 5x=x+62 answer
garik1379 [7]

Answer:

you cant solve that is it -88 * -88 5x=x+625x=x+62

Step-by-step explanation:

8 0
3 years ago
What is the volume of this container?
Keith_Richards [23]

Answer:

The volume of the container is 56\ in^{3}

Step-by-step explanation:

we know that

The volume of the figure is equal to

V=Bh

where

B is the area of the base

h is the height of the figure

Let

h=4\ in

Find the area of the base B

B=(4*4)-(1*2)=14\ in^{2}

substitute

V=14*4=56\ in^{3}


3 0
3 years ago
What is this please help or else
Mademuasel [1]

Answer:

8:45

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Please help! (Will give brainliest answer and hearts) Thank you and have a nice day!
    6·1 answer
  • What is the range of f(x) = 3x+9
    6·1 answer
  • I need this right to pass please helpp
    9·1 answer
  • Which angle is included angle forJL and KL
    10·1 answer
  • Factor<br> 2z to the second power +3z-9
    10·1 answer
  • What is the least number of bowling balls to make the mode 14 pound so
    15·1 answer
  • The y value is two less than twice the x-value
    12·1 answer
  • A rectangle is plotted on the coordinate grid. It has vertices at (-3, 5), (4, 5), (4, -1), and (-3, -1). Which choices below ar
    8·1 answer
  • Explain how you would find 2/3 x 12 mentally. (help lol)
    6·1 answer
  • 2(6x4) + 2(6x2.4n) + 2(4x2.4n) what is the value of n
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!