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3. Relations - No Proofs! Determine (no proof needed!) whether each of the following relations R, S, T on the set of real num
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x-x=0 = anya, yer a) x Ry iff x-y is positive but o is not positive XRx ;. ex not relates a - R is not reflexive Now assume aNow, assume XRy, y Rz a-y & y-z are positive but x-z = (x-7)+(y-2) =) Sum of two positive seal numbers positive real aumber x= y = 0 x = = 80 (y + 2x, y = 2 s is not symmetric Now assume asy & ysa = 2y fy y = 2x x=2(2x) x= 4X = a-4250 X (1-4)=0 Certy2 C) a Ty iff ayco Now, x = x x 70 =) xta i ex doesnt relate a = I is not reflexive Now, assume aty =) xyco =) youso Cay=yx)273 = T is not transitive relation

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