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# MTH 202

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.”

Solution:

Conditional:

If you are a truthful and honest person then people like and respect you.

Biconditional:

You are a truthful and honest person if and only if people like and respect you.

Inverse:

If you are not a truthful and honest person then people do not like and respect you.

Converse:

If people like and respect you then you are a truthful and honest person.

Contra Positive:

If people do not like and respect you then you are not a truthful and honest person.

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.

(ii)               Use the above sets A, B and C to verify the identity

(A – B) – C = (A – C) – B

Solution:

(i) write the given sets A, B and C into Tabular form

A= {1, 2, 3, 5, 7}

B= {1, 2, 3, 4, 5}

C= {1, 3, 5, 7, 9}

(ii) Use the sets A, B and C to verify the identity

(A – B) – C = (A – C) – B

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}

= {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

(A – B) – C = (A – C) – B

{  }={  }

So (A – B) – C = (A – C) – B.

Views: 929

### Replies to This Discussion

any one solve 3rd question ?????????

graph ki samaj nai a rai is mai

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:-

If you are a truthful and honest person then people like and respect you.

Biconditional:-

You are a truthful an honest person if and only if people like and respect you.

Inverse:-

If you are not a truthful and honest person then people do not like and respect you.

Converse:-

If people like and respect you then you are a truthful and honest person.

Contra-Poitive:-

If people do not like and respect you then you are not a truthful and honest person.

conditional:

If you are a truthful and honest , people will like and respect you.

biconditional:

People like and respect you if and only if You are a truthful an honest person

sir ap b 3rd ques ka ans bata dy

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.

(ii)               Use the above sets A, B and C to verify the identity

(A – B) – C = (A – C) – B

Solution:

(i) write the given sets A, B and C into Tabular form

A= {1, 2, 3, 5, 7}

B= {1, 2, 3, 4, 5}

C= {1, 3, 5, 7, 9}

(ii) Use the sets A, B and C to verify the identity

(A – B) – C = (A – C) – B

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}

= {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

(A – B) – C = (A – C) – B

{  }={  }

So (A – B) – C = (A – C) – B.

fist 5 prime numbers include {2, 3, 5, 7, 11}

ager first five prime number 2,3,5,7,11 hai tu app nay oper jo correction ki hai wo bhi tu galat ho gai na

i)                 Write the given sets A, B and C into Tabular form.               Marks = 3

A = Set of first 5 prime numbers

B = Set of first 5 natural numbers

C = Set of first 5 odd natural numbers

A={2,3,5,7,11}

B={1,2,3,4,5}

C={1,3,5,7,9}

(ii) Use the sets A, B and C to verify the identity

(A – B) – C = (A – C) – B

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 = {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}

=      { }.............................II

(A – B) – C = (A – C) – B

{  }={  }

So (A – B) – C = (A – C) – B.

Q:2 Answer is not true plz true it..................

A-B=[2,3,5,7,11]-[1,2,3,4,5]

A-B=[7,11]

(A-B)-C=[7,11]-[1,3,5,7,9]

(A-B)-C=[11]Ans         L.H.s

(A-c)=[2,3,5,7,11]-[1,3,5,7,9]

(A-C)=[2,11]

(A-C)-B=[2,11]-[1,2,3,4,5]

(A-C)-B=[11]. Ans             R.H.S     proved.

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