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11 Maths -- 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 personwhich are more or less similar. If any two viruses after exchanging the genetic material givesrise to a muta...

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

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

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


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

1. sol:

P

q

~p

~p ^ q

T

T

F

F

T

F

T

F

F

F

T

T

F

F

T

F

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 


1. Sentence 'x+2=5' is

2. The contrapositive of p  ~q

3. The compound statement p ∧ ~p is

4. The negation of p  q

5. The compound statement (p ∧ q)  p

6. Let p and q be two statements such that p is False (F) and q is True (T). The truth value of conditional statement p  q is

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