From 576cc75ea361243821fbcc7b4a074803a4c8172d Mon Sep 17 00:00:00 2001 From: Sven Riwoldt Date: Sun, 15 Mar 2026 20:21:52 +0100 Subject: [PATCH] =?UTF-8?q?Grafik=20=C3=BCberarbeitet?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- I_Loesungen.tex | 21 +++++++++++++++++++-- 1 file changed, 19 insertions(+), 2 deletions(-) diff --git a/I_Loesungen.tex b/I_Loesungen.tex index 70bfe82..6f3e944 100644 --- a/I_Loesungen.tex +++ b/I_Loesungen.tex @@ -25,7 +25,7 @@ $$ \node at (\x,1.5em) {$\y$}; \draw[blue, thick] (1,0.1) -- (5,0.1); -\draw[red, thick] (3,0.15) -- (8,0.15); +\draw[red, thick] (3,0.2) -- (8,0.2); \end{tikzpicture} @@ -45,7 +45,7 @@ $$ &A \backslash B=\{x \mid x \in A \wedge x \notin B\}=]-8,2[, \quad B \backslash A=\{x \mid x \notin A \wedge x \in B\}=[8, \infty[. \end{aligned} $$ -\subsection*{Lösungen in Mathematica} +\subsubsection*{Lösungen in Mathematica} \lstset{ basicstyle=\footnotesize, language=Mathematica, @@ -68,6 +68,23 @@ $\text{Interval}[\{-8,\infty \}]$ $\cap$ $\text{IntervalIntersection}[\text{Interval}[\{-8,8\}],\text{Interval}[\{2,\infty \}]]$ $\text{Interval}[\{2,8\}]$ +\subsubsection*{Lösungen in Sympy} +\paragraph*{Umschreiben der Ungleichung in ein Intervall} + +\lstset{ + basicstyle=\footnotesize, + language=Python, +} + +\begin{lstlisting} + from sympy import Symbol, solve_univariate_inequality + + x = Symbol('x') + + ungleichung = abs(x)<8 +\end{lstlisting} + + \subsection*{Aufgabe 1 b} Bestimmen Sie die Schnittmenge $A \cap B$, die Vereinigungsmenge $A \cup B$ und die beiden Differenzmengen $A \backslash B$ beziehungsweise $B \backslash A$ für