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For α ∈ N ,  consider a relation R on N given by R = { ( x , y ) : 3 x + α y     i s     a     m u l t i p l e     o f     7 } .  The relation R is an equivalence relation if and only if:

Option 1 -

α = 14

Option 2 -

α is a multiple of 4

Option 3 -

4 is the remainder when a is divided by 10

Option 4 -

4 is the remainder when a is divided by 7

0 5 Views | Posted 3 months ago
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