Question: 2 . Let S = RXIR = { (x, y) /x, yER}. Consider the following relation on S. ( a ) ( x , y

2 . Let S = RXIR = { (x, y) /x, yER}. Consider the following relation on S. ( a ) ( x , y ) ~ ( x ; y ' ) x + x = yty' . Is this an equivalence relation ? Explain. ( b ) ( x , y ) ~ ( x ; y's x- x' = y- y'. show that this is an equivalence relation . Describe its equivalence classes in geometric terms in the coordinate plane

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