Graficzne rozwiązanie nierówności

Project ID: 
6000000065
Accepted: 
Typ: 
Layout: 
Question: 
Dopasuj każdą nierówność do rysunku z jej graficznym rozwiązaniem przedstawionym w kolorze czerwonym. Wykorzystaj informację, że wykres odpowiadający lewej stronie nierówności oznaczono kolorem zielonym, a ten odpowiadający prawej stronie nierówności oznaczono kolorem niebieskim.
Questions Title: 
Wykresy:
Answers Title: 
Nierówności:
Question 1: 
{\obrA}
Question 1 Image: 
Answer 1: 

$x^2+8x-2 \leq 2x+5$

Question 2: 
{\obrB}
Question 2 Image: 
Answer 2: 

$-x^2+8x-2\geq2x+5$

Question 3: 
{\obrC}
Question 3 Image: 
Answer 3: 

$-x^2+8x-2\geq-2x+5$

Question 4: 
{\obrD}
Question 4 Image: 
Answer 4: 

$-x^2+8x-2\leq-2x+5$

Question 5: 
{\obrE}
Question 5 Image: 
Answer 5: 

$-x^2+8x-2\leq2x+5$

Question 6: 
{\obrF}
Question 6 Image: 
Answer 6: 

$x^2+8x-2\geq2x+5$

Tex: 
% ticket 32783 \NastavOD{3} \def\obrA{\obrMsr[x=0.2cm,y=0.15cm]{-12}{8}{-20}{12} { \footnotesize \coordinate (A) at (1,7); \coordinate (B) at (1,0); \coordinate (C) at (-7,-9); \coordinate (D) at (-7,0); \obrClip \obrOsaX[above left] \obrOsaY[below right] \draw[red,thick] (-7,0) -- (1,0); \obrPopisX[below]{-8,-4,4} \obrPopisY[left]{-16,-12,-8,-4,4,8} \obrZnackyX{-10,-6,-2,2,6} \obrZnackyY{-18,-14,-10,-6,-2,2,6,10} \draw[dashed] (1,0) -- (1,7); \draw[dashed] (-7,0) -- (-7,-9); \obrFce[green!60!black]{(\x)^2+8*(\x)-2} \obrFce[blue]{2*(\x)+5} \begin{scope}[thick] \obrKrizek[2pt] {A}{}{} \obrKrizek[2pt] {B}{}{} \obrKrizek[2pt] {C}{}{} \obrKrizek[2pt] {D}{}{} \end{scope} }} \def\obrB{\obrMsr[x=0.2cm,y=0.2cm]{-7}{10}{-8}{16} { \footnotesize \coordinate (A) at (1.585786438,8.17157287); \coordinate (B) at (1.585786438,0); \coordinate (C) at (4.414213562,13.82842713); \coordinate (D) at (4.414213562,0); \obrClip \obrOsaX[above left] \obrOsaY[below right] \draw[red,thick] (1.585786438,0) -- (4.414213562,0); \obrPopisX[below]{-4,4,8} \obrPopisY[left]{-4,4,8,12} \obrZnackyX{-6,-2,2,6} \obrZnackyY{-6,-2,2,6,10,14} \draw[dashed] (1.585786438,0) -- (1.585786438,8.17157287); \draw[dashed] (4.414213562,0) -- (4.414213562,13.82842713); \obrFce[green!60!black]{-(\x)^2+8*(\x)-2} \obrFce[blue]{2*(\x)+5} \begin{scope}[thick] \obrKrizek[2pt] {A}{}{} \obrKrizek[2pt] {B}{}{} \obrKrizek[2pt] {C}{}{} \obrKrizek[2pt] {D}{}{} \end{scope} }} \def\obrC{\obrMsr[x=0.2cm,y=0.15cm]{-6}{12}{-16}{16} { \footnotesize \coordinate (A) at (0.757359314,3.48528138); \coordinate (B) at (0.757359314,0); \coordinate (C) at (9.242640686,-13.48528136); \coordinate (D) at (9.242640686,0); \obrClip \obrOsaX[above left] \obrOsaY[below right] \draw[red,thick] (0.757359314,0) -- (9.242640686,0); \obrPopisX[below]{-4,4,8} \obrPopisY[left]{-12,-8,-4,4,8,12} \obrZnackyX{-2,2,6,10} \obrZnackyY{-14,-10,-6,-2,2,6,10,14} \draw[dashed] (0.757359314,0) -- (0.757359314,3.48528138); \draw[dashed] (9.242640686,0) -- (9.242640686,-13.48528136); \obrFce[green!60!black]{-(\x)^2+8*(\x)-2} \obrFce[blue]{-2*(\x)+5} \begin{scope}[thick] \obrKrizek[2pt] {A}{}{} \obrKrizek[2pt] {B}{}{} \obrKrizek[2pt] {C}{}{} \obrKrizek[2pt] {D}{}{} \end{scope} }} \def\obrD{\obrMsr[x=0.2cm,y=0.15cm]{-6}{12}{-16}{16} { \footnotesize \coordinate (A) at (0.757359314,3.48528138); \coordinate (B) at (0.757359314,0); \coordinate (C) at (9.242640686,-13.48528136); \coordinate (D) at (9.242640686,0); \obrClip \obrOsaX[above left] \obrOsaY[below right] \draw[red,thick] (-6,0) -- (0.757359314,0); \draw[red,thick] (9.242640686,0) -- (12,0); \obrPopisX[below]{-4,4,8} \obrPopisY[left]{-12,-8,-4,4,8,12} \obrZnackyX{-2,2,6,10} \obrZnackyY{-14,-10,-6,-2,2,6,10,14} \draw[dashed] (0.757359314,0) -- (0.757359314,3.48528138); \draw[dashed] (9.242640686,0) -- (9.242640686,-13.48528136); \obrFce[green!60!black]{-(\x)^2+8*(\x)-2} \obrFce[blue]{-2*(\x)+5} \begin{scope}[thick] \obrKrizek[2pt] {A}{}{} \obrKrizek[2pt] {B}{}{} \obrKrizek[2pt] {C}{}{} \obrKrizek[2pt] {D}{}{} \end{scope} }} \def\obrE{\obrMsr[x=0.2cm,y=0.2cm]{-7}{10}{-8}{16} { \footnotesize \coordinate (A) at (1.585786438,8.17157287); \coordinate (B) at (1.585786438,0); \coordinate (C) at (4.414213562,13.82842713); \coordinate (D) at (4.414213562,0); \obrClip \obrOsaX[above left] \obrOsaY[below right] \draw[red,thick] (-7,0) -- (1.585786438,0); \draw[red,thick] (4.414213562,0) -- (10,0); \obrPopisX[below]{-4,4,8} \obrPopisY[left]{-4,4,8,12} \obrZnackyX{-6,-2,2,6} \obrZnackyY{-6,-2,2,6,10,14} \draw[dashed] (1.585786438,0) -- (1.585786438,8.17157287); \draw[dashed] (4.414213562,0) -- (4.414213562,13.82842713); \obrFce[green!60!black]{-(\x)^2+8*(\x)-2} \obrFce[blue]{2*(\x)+5} \begin{scope}[thick] \obrKrizek[2pt] {A}{}{} \obrKrizek[2pt] {B}{}{} \obrKrizek[2pt] {C}{}{} \obrKrizek[2pt] {D}{}{} \end{scope} }} \def\obrF{\obrMsr[x=0.2cm,y=0.15cm]{-12}{8}{-20}{12} { \footnotesize \coordinate (A) at (1,7); \coordinate (B) at (1,0); \coordinate (C) at (-7,-9); \coordinate (D) at (-7,0); \obrClip \obrOsaX[above left] \obrOsaY[below right] \draw[red,thick] (-12,0) -- (-7,0); \draw[red,thick] (1,0) -- (8,0); \obrPopisX[below]{-8,-4,4} \obrPopisY[left]{-16,-12,-8,-4,4,8} \obrZnackyX{-10,-6,-2,2,6} \obrZnackyY{-18,-14,-10,-6,-2,2,6,10} \draw[dashed] (1,0) -- (1,7); \draw[dashed] (-7,0) -- (-7,-9); \obrFce[green!60!black]{(\x)^2+8*(\x)-2} \obrFce[blue]{2*(\x)+5} \begin{scope}[thick] \obrKrizek[2pt] {A}{}{} \obrKrizek[2pt] {B}{}{} \obrKrizek[2pt] {C}{}{} \obrKrizek[2pt] {D}{}{} \end{scope} }}