MATH111Test2-Solutions1.Letx2Z.Provethatifx3+x2+xisodd,thenxisodd.What - PDF document

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MATH111Test2-Solutions1.Letx2Z.Provethatifx3+x2+xisodd,thenxisodd.What - PPT Presentation

bIsRsymmetricYesbecauseifab2Rthenab5thenba5soba2RcIsRtransitiveNobecauseeg212Rand132Rbut2362Rsince215135but23657ProveordisproveThenumberp3p5isirrationalThesta ID: 492806

(b)IsRsymmetric?Yes becauseif(a;b)2R thena+b5 thenb+a5 so(b;a)2R.(c)IsRtransitive?No becausee.g.(2;1)2Rand(1;3)2R but(2;3)62Rsince2+15 1+35 but2+365.7.Proveordisprove.Thenumberp3+p5isirrational.Thesta

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MATH111Test2-Solutions1.Letx2Z.Provethatifx3+x2+xisodd,thenxisodd.What - PDF document

MATH111Test2-Solutions1.Letx2Z.Provethatifx3+x2+xisodd,thenxisodd.What - PPT Presentation

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