MA121 Lecture Notes - Lecture 4: World Trade Organization, Irrational Number

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27 Feb 2019
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Given every real number has a real square my x a er ta. Ps the square mtfaisxcrsuehthax2 auebv xi. in where a er and xen pmfwdnleta. This gives a l. gr there is xer with it 7 counterexample to disprove the statement the statement thus false . Or by construction u ta i . The exists an tnt x which is greater ey tnt. To dispnfit. ve shed proven ix ivy tip i. In other and there is or a y equal to largest number. For wey x ez take y x 1. 70 x 2 ytxcy ii so that xy ltttjtnntifk. la. 7 uk tin in pink ii a for each ken there exist some net suh ha that it. Tmtnzk existence theorems at example there exist irrational number a and b rational. Suh that ab is rational. ie atq if a where mn ez and wto aer is irrational if it not rational non_constructivei suppose that is false souplab pwf a ib idea.

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