Recall what a standard form is: (i) coeficients of x's are positive and (ii) each factor is linear (degree =1). If an inequality is in a standard form, we can apply short cut to solve the problem.

(3x+1)(-2+3x) < 0. (this is a standard form, so we alternate the +, and - signs from right to the left, the answer is (-1/3, 2/3).

What about (-1-3x)(2x-1) > 0 ? This is not in standard form, what should we do?