Enrich · Mathematics Extension 2 11–12 – Year 12 · The nature of proof

Enrich Prove and use results for numbers: if a > b then a±c > b±c; if a > b > 0 then 1/b > 1/a > 0 and vice versa; if (a) > (b) then a² > b² and vice versa; if a > b and b > c then a > c; if a > b and c > d then a + c > b + d; if a > b and c > 0 then ac > bc; if a > b and c then ac

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