Question

x < x+2 /5 <2

Answer 1

\(x< \dfrac{x+2}{5}< 2\)

\(\Leftrightarrow\left\{{}\begin{matrix}x< \dfrac{x+2}{5}\\\dfrac{x+2}{5}< 2\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}5x< x+2\\x+2< 10\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}4x< 2\\x< 8\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x< \dfrac{1}{2}\\x< 8\end{matrix}\right.\)

\(\Rightarrow x< \dfrac{1}{2}\)

#Urushi

Answer 2

\(x< \dfrac{x+2}{2}< 2\)

=>\(\left\{{}\begin{matrix}x< \dfrac{x+2}{2}\\\dfrac{x+2}{2}< 2\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}2x< x+2\\x+2< 4\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x< 2\\x< 2\end{matrix}\right.\)

=>x<2

Answer 3

1<7+2 /5 <2