Question 1120380
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When 0 is less than a and a is less than b, is it correct that a over b is less than b over a? Why?
0<a<b a/b < b/a
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{{{system(0<a,and,a<b)}}}


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{{{a/b}}} {{{versus}}} {{{b/a}}}

{{{(a/b)(a/a)}}} {{{versus}}} {{{(b/a)(b/b)}}}

{{{system(a^2/(ab),comparedto, b^2/ab)}}}


Both denominators are now the same so you can look at the order for {{{a^2}}} and {{{b^2}}}.