Question

Write the equivalence relation on the set A equals {4,5}

Answer 1

Answer:

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Step-by-step explanation:

Let R be the required equivalence relation

Then

R = { (4, 4), (5,5), (4,5)}

Answer 2

Answer:

It is given that , a= {1,5}, b={3,7} : r=(a,b) and a-b is multiple of 4.

We have to find relation r.

Solution : Consider the following pairs

(1,3)=1 -3= -2,

(1,7) = 1- 7 = -6

(5,3) = 5 -3 =2

(5,7) = 5 - 7 = -2

As , none of the pair (1,3),(1,7), (5,3),)(5,7) satisfies the condition that a-b is multiple of 4, where a= first element of ordered pair and b= Second element of ordered pair.

So→ [r(a, b) such that a-b is multiple of 4], does not form any kind of relation from a to b.

Step-by-step explanation: