exercise:D2ad6faccc: Difference between revisions
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(Created page with "<div class="d-none"><math> \newcommand{\ex}[1]{\item } \newcommand{\sx}{\item} \newcommand{\x}{\sx} \newcommand{\sxlab}[1]{} \newcommand{\xlab}{\sxlab} \newcommand{\prov}[1] {\quad #1} \newcommand{\provx}[1] {\quad \mbox{#1}} \newcommand{\intext}[1]{\quad \mbox{#1} \quad} \newcommand{\R}{\mathrm{\bf R}} \newcommand{\Q}{\mathrm{\bf Q}} \newcommand{\Z}{\mathrm{\bf Z}} \newcommand{\C}{\mathrm{\bf C}} \newcommand{\dt}{\textbf} \newcommand{\goesto}{\rightarrow}...") |
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\newcommand{\mathds}{\mathbb} | \newcommand{\mathds}{\mathbb} | ||
</math></div> | </math></div> | ||
If <math>a < b < c</math>, prove that | If <math>a < b < c</math>, prove that | ||
<math display="block"> | <math display="block"> | ||
\frac bc < \frac ba, \quad \mbox{if $a > 0$} | |||
, | , | ||
</math> | </math> | ||
<math display="block"> | <math display="block"> | ||
\ | \frac{b}{c} > \frac{b}{a},\quad \mbox{if $c < 0$}. | ||
</math> | </math> | ||
Latest revision as of 23:34, 22 November 2024
[math]
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[/math]
If [math]a \lt b \lt c[/math], prove that
[[math]]
\frac bc \lt \frac ba, \quad \mbox{if $a \gt 0$}
,
[[/math]]
[[math]]
\frac{b}{c} \gt \frac{b}{a},\quad \mbox{if $c \lt 0$}.
[[/math]]