Question 1152387
Hi! I had this interval: {{{ 1.99<1/x<2.01 }}}. When I took the reciprocal of each number, I ended up with: {{{ 1/1.99<x<1/2.01 }}}. However, this leaves me with the larger number on the left side and the smaller number on the right side. This wouldn't make sense. What did I do wrong? Can I rearrange the numbers?
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Inversion changes the polarity for inequalities.
eg,
if  1/x < 1/3, then x > 3
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{{{ 1.99<1/x<2.01 }}}
{{{ 1/1.99 > x > 1/2.01 }}}