ask mattrab

23 Maths -- Sets, Real Number System and Logic

Construct a truth table for (~p)^q (~p) v (~q)~(p^q)~[p v (~q)]

Construct a truth table for 


  1. (~p)^q 

  2. (~p) v (~q)

  3. ~(p^q)

  4. ~[p v (~q)]

4 Answers

585 Views

2. sol:

p

q

                ~p

~q

~p v (~q)

T

T

F

F

T

F

T

F

F

F

T

T

F

T

T

F

F

T

T

T

3. sol:

p

q

p^q

~p^q

T

T

F

F

T

F

T

F

T

F

F

F

F

T
T

T

4, sol:

p            

q

                ~q

p v (~q)

-[p v (~q)]

T

T

F

F

T

F

T

F

F

T

F

T

T

T

F

T

F

F

T

F

1. sol:

P

q

                ~p

~p ^ q

T

T

F

F

T

F

T

F

F

F

T

T

F

F

T

F

More questions on Sets, Real Number System and Logic

Consider a set of disease causing viruses and they show symptoms after infecting a person which are more or less similar. If any two viruses after exchanging the genetic material gives rise to a mu...

Consider a set of disease causing viruses and they show symptoms after infecting a person which are more or less similar. If any two viruses after exchanging the genetic material gives rise to a mutant and this mutant shows symptoms common to that of previous viruses then what is the likelihood for the viruses to cause the symptom due to the mutant to lie entirely in the set of symptoms caused by the viruses individually?


The likelihood for the mutant virus to cause symptoms that lie entirely...

Consider a set of disease causing viruses and they show symptoms after infecting a personwhich are more or less similar. If any two viruses after exchanging the genetic material givesrise to a muta...


Likelihood of symptom similarity.Consider a set of disease causing viruses and they show symptoms after infecting a person which are more or less similar. If any two viruses after exchanging the genetic material gives rise to a mutant and this mutant shows symptoms common to that of previous viruses then what is the likelihood for the viruses to cause the symptom due to the mutant to lie entirely in the set of symptoms caused by the viruses individually?

The likelihood for the mutant virus to...

Theoretical application of set in Covid 19 for child, young and adult. By giving appropriate example. (specified place like:Kathmandu, Pokhara, Birgunj, Janakpur,etc)

Theoretical application of set in Covid 19 for child, young and adult. By giving appropriate example. (specified place like:Kathmandu, Pokhara, Birgunj, Janakpur,etc)


One theoretical application of set theory in the context of COVID-19 could be to analyze the age distribution of the virus among different populations in different regions of Nepal, such as Kathmandu, Pokhara, Birgunj, Janakpur, etc.


For example, we can define three sets: one for children (ages 0-12), one for young people (ages...

What is statement and how can we identify them?For eg : Elephants have long trunk.              Men are selfish.Which one is statement and why? Justify

2nd page ma Harry is an actor kina statement vayena??

Hi @UNKNOWN,

When we talk about logic in general, asentence can be considered a statement if and only if its truth or falsity can be determined for certain.

Harry is an actor.

Harry who? This is uncertain and therefore debatable. Hence, because of the ambiguity, the sentence is not accepted as a valid statement.

I hope this answers your question. Feel free to ask any more question(s) that you may have.


Thanks for reading the notes. Happy learning!

Construct truth table for: (p ⇒ q) ⇔ (~p ν q) 


Construct truth table for (p ⇔ q) ν (q ⇔ r)


if x,y,z are the elements from the set of real numbers prove that          l x-y l +l y-z l >l x-z l


Which of the following sentence are statement? Find the truth value of those sentences which are statements.Kathmandu is the capital of Nepal.Nepal exports oil.3+5=8Where do you live?Understand log...

  1. Statement; true
  2. Statement; false
  3. Statement; true
  4. Interrogative sentence; not a statement
  5. Imperative sentence; not a statement
  6. Exclamatory sentence; not a statement

If A = {x:x= 2n+1, n<= 5, n€N } and B = {x:x= 3n-2, n<= 4, n€N }, find A U B, A n B and B- A


Let A= [-3, 1) and B = [ -2, 4]Find  A - B and B - A


Prove: ~(p v ( ~q)) = ( ~p) ^q 


Prove that : If A and B are any two non empty sets , prove that AXB = BXA <=> A = B.


For any sets A, B and C, prove thatA X (B Intersection C) = (A X B) Intersection ( A X C ).


For any sets A , B , C and D , prove that ( A X B ) intersection ( C X D ) = ( A intersection C ) X ( B intersection D ) .


If A , B and C be three nonempty sets given in such a way that AXB = AXC then prove that B = C .


Close Open App