Question 1152387
{{{ 1.99<1/x<2.01 }}}......took the reciprocal of each number, they will switch sides

{{{ 1/1.99 <x< 1/2.01}}}

{{{0.503< x <  0.479   }}}->false; {{{no}}} {{{solution}}}



If {{{a<u<b}}} then {{{a<u}}} and {{{u<b}}}.

you have

{{{ 1/1.99 <x}}} and {{{x< 1/2.01}}}

then, you switch sides to get true statement:


{{{ 1/2.01<x< 1/1.99 }}}

{{{0.479< x < 0.503    }}}