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Based on the Type of Solvent

what is meant...

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what is meant by composition of relations, i.e (R1 o R2)?

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R_{1}, R_{2}

are relation defined on

Z

a R_{1} b ⟺ (a - b)

is divisible by

3

a R_{2} b ⟺ (a - b)

is divisible by

4

. Then which of the two relation

(R_{1} \cup R_{2}), (R_{1} \cap R_{2})

is an equivalence relation?

R_{1}

R_{2}

be two relations defined as follows:

R_{1} = {(a, b) \in R^{2} : a^{2} + b^{2} \in Q}

R_{2} = {(a, b) \in R^{2} : a^{2} + b^{2} \notin Q} .

R_{1}

R_{2}

be two relations defined on a non empty set A. Which of the following statements is false? Give reasons in support of your answer.
(a) If

R_{1}

R_{2}

are reflexive, then so is

R_{1} \cap R_{2}

R_{1}

R_{2}

are symmetric, then so is

R_{1} \cup R_{2}

R_{1}

R_{2}

are transitive, then so is

R_{1} \cup R_{2}

R_{1}

R_{2}

are transitive, then so is

R_{1} \cap R_{2}

R_{1}

R_{2}

are symmetric, then so is

R_{1} \cap R_{2}

R_{1}

R_{2}

be two equivalence relations on a set. Consider the following assertions:
(i)

R_{1} \cup R_{2}

is an equivalence relation
(ii)

R_{1} \cap R_{2}

is an equivalence relation
Which of the following is correct ?

Q. What is meant by age composition of population?

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