4x^3 - 6x^2 < 0
2x^2 (2x-3) < 0
You should know the general shape of this graph. It has a double root at x=0 and it crosses the x-axis at x=3/2.
So, the graph is below the x-axis for all values of x less than 3/2, except x=0.
2x-3 < 0 is an inequality.
You cannot change it to an equation: x = 3/2
2x-3 < 0
2x < 3
x < 3/2
If 2x^2 < 0
you cannot say x^2 < 1/2
0/2 = 0
HINT: x^2 is always >=0, so 2x^2 is always >= 0.
(a) check your answer in the original expression
(b) THINK about your answer in teh context of the problem!
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