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# EXPERTS I SHOULDN'T POST 3 QUERIES AT A TIME BUT ITS URGENT I HAVE TEST TOMORROW. SOLVE ALL 3 QUERIES. 1.Let Q+ denote the set of all positive rational numbers. A relation R on Q+ × Q+ is defined as .  Show that R is an equivalence relation. 2.  Let A = R − {0} and B = A × R. .Let the binary operation * on B be defined as    (a, b) * (c, d)    = .(i) Find the identity element of B with respect to the   operation *. (ii) Show that set B is invertible with respect to the operation *.Also, find the     inverse of (−5, 3). 3.A function f: Z → A, whereis defined as. Without finding the actual inverse of f, show that f is  bijective.

Asked by nikitaayyagari 28th April 2016, 1:29 PM
Answered by Expert 29th April 2016, 9:01 AM
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