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Math Help - Help with inequalities

  1. #1
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    Help with inequalities

    I just got a whole lot of questions to do for tomorrow and i really need help, iv managed to do the first bit of inequalities but im still stuck on a few, all we solve the inequality in terms of intervals and illustrate it on a number line:
    33) x^3 - x^2 <=0
    35) x^3 > x

    im really stuck on these 2, i didnt do maths in high school so this is all new to me and im forced to do maths for my computer science degree
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  2. #2
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    Krizalid's Avatar
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    Quote Originally Posted by jhbguy View Post
    33) x^3 - x^2 <=0
    35) x^3 > x
    for the first one x^3-x^2=x^2(x-1), since x^2\ge0 we require that x-1\le0, namely x\le1.

    for the second one x^3-x=x(x+1)(x-1)>0, so here you need to study the following sets: (-\infty,-1), (-1,0), (0,1) and (1,\infty).
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