練習問題にチャレンジ♪
さっそく練習問題にチャレンジしましょう。
↓この問題へのリンクはこちら(右クリックで保存)
【解答】
\def\LeftB{2} \def\LeftI{x} \def\RightV{8} \def\RightB{2} \def\RightI{3} \newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}} \newcommand\colMM[2]{\textcolor{#1}{\scriptsize\bf\bm #2}} \newcommand\colBX[2]{\colorbox{#1}{#2}} \newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}} \begin{align*} \LeftB^{\LeftI} &\geqq \colBX{bisque}{$\RightV$}\\ & \colMM{orange}{ \Darr ◯^{▲}に}\\ \colBX{palegreen}{$\LeftB$}^{\LeftI} &\geqq \colBX{palegreen}{$\RightB$}^{\RightI}\\ \\ \small 底\ \colBX{palegreen}{$\LeftB$}\ は\ 1\ & より大きいから\\ & \colMM{green}{2\ を消しても大丈夫}\\ \LeftI &\geqq \RightI \end{align*} %1 orange,bisque %2 green,palegreen %3 magenta, violet %4 deepskyblue, lightcyan
↓この問題へのリンクはこちら(右クリックで保存)
【解答】
\def\LeftB{\dfrac13} \def\LeftI{x+1} \def\RightB{\dfrac19} \def\RightI{x} \def\RightBB{\dfrac13} \def\RightII{2} \def\RightIII{2x} \newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}} \newcommand\colMM[2]{\textcolor{#1}{\scriptsize\bf\bm #2}} \newcommand\colBX[2]{\colorbox{#1}{#2}} \newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}} \begin{align*} \left(\LeftB\right)^{\LeftI} &< \left(\RightB\right)^{\RightI}\\ & \colMM{orange}{ \Darr ◯^{▲}に}\\ \left(\LeftB\right)^{\LeftI} &< \left\{\left(\RightBB\right)^{\RightII}\right\}^{\RightI}\\ \\ \left(\colBX{palegreen}{$\LeftB$}\right)^{\LeftI} &\colBX{mistyrose}{$<$} \left(\colBX{palegreen}{$\RightBB$}\right)^{\RightIII}\\ \\ \small 底\ \colBX{palegreen}{$\LeftB$}\ は\ 1\ & より小さいから\\ \colMM{green}{\LeftB\ を消すと} & \colMM{green}{不等号の向きが変わる!}\\ \LeftI &\colBX{mistyrose}{$>$} \RightIII\\ \\ x-2x &> -1\\ \\ -x &> -1\\ \\ x &< 1 \end{align*} %1 orange,bisque %2 green,palegreen %3 magenta, violet %4 deepskyblue, lightcyan
↓この問題へのリンクはこちら(右クリックで保存)
【解答】
\def\LeftB{3} \def\LeftI{x} \def\RightV{81} \def\RightB{3} \def\RightI{4} \newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}} \newcommand\colMM[2]{\textcolor{#1}{\scriptsize\bf\bm #2}} \newcommand\colBX[2]{\colorbox{#1}{#2}} \newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}} \begin{align*} \LeftB^{\LeftI} &< \colBX{bisque}{$\RightV$}\\ & \colMM{orange}{ \Darr ◯^{▲}に}\\ \colBX{palegreen}{$\LeftB$}^{\LeftI} &< \colBX{palegreen}{$\RightB$}^{\RightI}\\ \\ \small 底\ \colBX{palegreen}{$\LeftB$}\ は\ 1\ & より大きいから\\ & \colMM{green}{2\ を消しても大丈夫}\\ \LeftI &< \RightI \end{align*} %1 orange,bisque %2 green,palegreen %3 magenta, violet %4 deepskyblue, lightcyan
↓この問題へのリンクはこちら(右クリックで保存)
【解答】
\def\LeftB{\dfrac12} \def\LeftI{x} \def\RightV{\dfrac{1}{32}} \def\RightB{\dfrac12} \def\RightI{5} \def\RightBB{\dfrac13} \def\RightII{2} \def\RightIII{2x} \newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}} \newcommand\colMM[2]{\textcolor{#1}{\scriptsize\bf\bm #2}} \newcommand\colBX[2]{\colorbox{#1}{#2}} \newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}} \begin{align*} \left(\LeftB\right)^{\LeftI} &\geqq \RightV\\ & \colMM{orange}{ \Darr ◯^{▲}に}\\ \left(\colBX{palegreen}{$\LeftB$}\right)^{\LeftI} &\colBX{mistyrose}{$\geqq$} \left(\colBX{palegreen}{$\RightB$}\right)^{\RightI}\\ \\ \small 底\ \colBX{palegreen}{$\LeftB$}\ は\ 1\ & より小さいから\\ \colMM{green}{\LeftB\ を消すと} & \colMM{green}{不等号の向きが変わる!}\\ \LeftI &\colBX{mistyrose}{$\leqq$} \RightI\\ \end{align*} %1 orange,bisque %2 green,palegreen %3 magenta, violet %4 deepskyblue, lightcyan