iran-konkur 2013 Q106

iran-konkur · Other · konkur-riazi_1392 Inequalities Absolute Value Inequality
106- The solution set of the inequality $|x|(2x - 5) \leq |x - 4|$ is which of the following?
  • [(1)] $(1, 5)$
  • [(2)] $(1 - \sqrt{6}\ ,\ 1 + \sqrt{6}\ )$
  • [(3)] $(1,5) \cup (1+\sqrt{6}\ , +\infty)$
  • [(4)] $(-\infty, 1-\sqrt{6}\ ) \cup (1, 5)$
\textbf{106-} The solution set of the inequality $|x|(2x - 5) \leq |x - 4|$ is which of the following?

\begin{itemize}
\item[(1)] $(1, 5)$
\item[(2)] $(1 - \sqrt{6}\ ,\ 1 + \sqrt{6}\ )$
\item[(3)] $(1,5) \cup (1+\sqrt{6}\ , +\infty)$
\item[(4)] $(-\infty, 1-\sqrt{6}\ ) \cup (1, 5)$
\end{itemize}