Printable View
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
for the first one $\displaystyle x^3-x^2=x^2(x-1),$ since $\displaystyle x^2\ge0$ we require that $\displaystyle x-1\le0,$ namely $\displaystyle x\le1.$Quote:
Originally Posted by jhbguy
for the second one $\displaystyle x^3-x=x(x+1)(x-1)>0,$ so here you need to study the following sets: $\displaystyle (-\infty,-1),$ $\displaystyle (-1,0),$ $\displaystyle (0,1)$ and $\displaystyle (1,\infty).$
