Let R1 and R2 is equivalence relations on a set consider the following assertions 1 R1 R2 ...........

Mathematics (NDA) Set theory

Let R1 and R2 is equivalence relations on a set consider the following assertions :

(1)R1 ? R2 is an equivalence relation

(2) R1 ? R2 is an equivalence relation

Which of the following is correct?

Both assertions are true

Assertions 1 is true but assertion 2 is not true

Assertions 2 is true but assertions 1 is not true

Neither 1 nor 2 is true

R1 ? R2 is an equivalence relation it is not true because some element makes other relation which will not follow all condition

R1 ? R2 is a true common element taken which follow all three condition

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