Solve inequality?
I don't understand what I did wrong here, because the solutions say that -4<k<0.
-1/4k^2-k <0 | ()
k(-1/4k-1) <0
k<0 -1/4k-1 < 0 |+1
-1/4k < 1 | :(-1/4)
k>-4
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ist identisch mit
Auf die Idee, das Ganze mit -4 zu multiplizieren, um da erstmal etwas Übersicht hereinzubekomme, war ich auch gekommen. Und das passte auf den ersten Blick zur Musterlösung -4<k<0.
Aber nur auf den ersten Blick, denn Multiplikation mit einer negativen Zahl dreht das Ungleichzeichen.
Danke dafür, dass Du das bis zum Ende durchgezogen hast.
Danke für den Stern
Man kann das ja mal zeichnen, was da rechnerisch herauskommen muss.
Du hast das Quadrat unterschlagen. Durch das ausklammern musst du unterscheiden
Ich weiß nicht, was das zweite < da soll, aber du kannst hier
nicht einfach durch k teilen. Wenn du durch die ganze
linke Seite teilen würdest, stünde da 1 < 0.