Solution Q1:
Q1: Write the conditional, biconditional, inverse, converse, and contra-positive statements of the following:
p = “You are a truthful and honest person.”
q = “People like and respect you.”
conditional:
p --> q
If you are a truthful and honest , people will like and respect you.
biconditional:
p <--> q
People like and respect you if and only if you are a truthful and honest.
inverse:
?
converse, and contra-positive:
??
Q2:Given
A = Set of first 5 prime numbers
B = Set of first 5 natural numbers
C = Set of first 5 odd natural numbers
(i) Write the given sets A, B and C into Tabular form. Marks = 3
(ii) Use the above sets A, B and C to verify the identity
(A – B) – C = (A – C) – B Marks = 3+3+1
------------------------------------------Solution-------------------------------------------------------------
(i)
A={1,2,3,5,7}
B={1,2,3,4,5}
C={1,3,5,7,9}
(ii) Use the above sets A, B and C to verify the identity
(A – B) – C = (A – C) – B Marks = 3+3+1
------------------------------------------Solution-------------------------------------------------------------
A={1,2,3,5,7}
B={1,2,3,4,5}
C={1,3,5,7,9}
A-B={1,2,3,5,7}-{1,2,3,4,5}
={7}
(A – B) – C ={5,7}-{1,3,5,7,9}
={ } ......................(1)
(A – C) ={1,2,3,5,7} - {1,3,5,7,9}
={2}
(A – C) – B= {2} - {1,2,3,4,5}
={ } ........................(2)
Any improvement ?
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