x^4-x<0
How do I solve it?
note that the factor for all x (how can you check that the factor is always positive?)
for the other two factors that can equal zero ... critical values are x = 0 and x = 1
these two critical values divide the x-value number line into three regions ...
x < 0 , 0 < x < 1 , and x > 0
test a single x-value from each of the above intervals into the original inequality to see if this value makes the inequality true or false ...
if true, then all values of x in that interval make the inequality true ... if false, then otherwise.