Mathematik-Online problems: Problem 11: Sketching of Areas in the xy-Plane

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	Mathematik-Online problems:
	Problem 11: Sketching of Areas in the xy-Plane

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Sketch the areas in the

-plane, which are defined by the following inequations:

a) $\vert x\vert+\vert y\vert>2$ b) $\vert x\vert-\vert y\vert>3$ c) $\vert x-1\vert\leq \vert y+2\vert$

d) ${\displaystyle{\frac{(y-1)^2+2x^2}{1+x^4}>1}}$ e) ${\displaystyle{y<\frac{2}{x+2} \ \wedge \ x<\frac{4}{y+4}}}$

(Authors: Kimmerle/Roggenkamp/Lesky/Höfert)

see also:

Keyword: Inequality

automatisch erstellt am 31. 7. 2009

a) $\vert x\vert+\vert y\vert>2$		b) $\vert x\vert-\vert y\vert>3$		c) $\vert x-1\vert\leq \vert y+2\vert$
d) ${\displaystyle{\frac{(y-1)^2+2x^2}{1+x^4}>1}}$		e) ${\displaystyle{y<\frac{2}{x+2} \ \wedge \ x<\frac{4}{y+4}}}$