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
Fittoniya [83]
3 years ago
8

For each of these compound propositions, use the conditional-disjunction equivalence (Example 3) to find an equivalent compound

proposition that does not involve conditionals.
(a) ~p→ ~q
(b) (p v q) → ~p
(c) (p→ ~q) → (~p →q)
Mathematics
1 answer:
VashaNatasha [74]3 years ago
5 0

Answer:

(a) p v ~q

(b) ~(p v q) v ~p

(c) ~(~p v ~q) v (p v q)

Step-by-step explanation:

The conditional-disjunction equivalence is:

P→Q ⇔ ~P v Q

To find an equivalent compound proposition without the conditionals (without the "→") you have to apply the previous equivalence and simplify if possible.

a) ~p→~q

In this case, P= ~p and Q= ~q

Applying the equivalence:

~(~p) v ~q

p v ~q

b) (p v q) → ~p

In this case P = (p v q) and Q= (~p)

Applying the equivalence:

~(p v q) v ~p

c) (p→~q) → (~p→q)

In this case, you have to apply the conditional-disjunction equivalence for every conditional in the compound proposition.

First, let P= (p→~q) and Q= (~p→q)

~ (p→~q) v (~p→q)      (1)

Now, you have to find an equivalent compound proposition for both (p→~q) and (~p→q)

For (p→~q):

Let P= p and Q=~q

~p v ~q    

For (~p→q)

Let P= ~p and Q= q

~(~p) v q

p v q    

Then the expression (1) is:

~(~p v ~q) v (p v q)

You might be interested in
I need help answering this ASAP
Nata [24]

Answer:

"D"

if you multiply by Conjugate

the denominator would end up A^2 - b^2

the answer has 25 - 10x

that is D

Step-by-step explanation:

7 0
2 years ago
Elvin read 4/7 of the pages in his book. He has 226 pages left to read. How many pages has he read already?
Brut [27]

Answer:

he has read 129 pages


8 0
3 years ago
Quick answer this question whoever gives correct answer gets brainliest
liq [111]

Answer:

50 envelopes for 2.49

Step-by-step explanation:

2.49/50= .05

5.50/90= .06

 the first per is less than the 90 envelopes one therefore the answer is 50 for 2.49

8 0
2 years ago
The radius of a spherical glass ornament is 6 centimeters. Twenty-seven ornaments are packed in a cube shaped box with a side le
Alex Ar [27]

Answer:

45.413 cm³

Step-by-step explanation:

Because the volume of a orament is 57 cm³ . The volume of twenty-seven oraments is 1242 cm³ . The volume of a cube is 46656 cm³

⇒The empty space is :

         46656-1242=45414 ( cm³)

                  So the empty space is 45414 cm³  

4 0
3 years ago
Solve this please, and quick
rosijanka [135]
Error: They subtracted 9x from both sides when they should have subtracted 12. You can’t subtract unlike terms
Correct: x=-5/16
Subtract 12 from both sides to get -5 on the left and add 7x and 9x to get 16x. Divide both sides by 16 to isolate x.
8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the area of this figure drag and drop the appropriate number into the box
    9·1 answer
  • How do you solve the equation:
    12·1 answer
  • Geometry <br><br> 3,5,8,10,12,13,16,
    9·1 answer
  • Which two fractions have a sum of −730
    14·1 answer
  • Help!! Don’t really understand this!!
    6·2 answers
  • The distance d traveled at a constant speed r is directly proportional to the time t spent traveling. a car moving at a constant
    5·2 answers
  • A 16 oz. package of brown rice costs 79 cents and 32 oz. package of white rice costs $3.49. Which package is a better deal?
    6·1 answer
  • You purchase a brand new red car for $23,400. If the car depreciates at a rate of 15% per year, find the decrease in value from
    13·1 answer
  • Hiii please help!! i'll give brainiest if you get it correct - find the volume.
    13·2 answers
  • Which statement is true?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!