I have a question about cubic or quadratic inequalities whne there is some on one side of the inequality and some on the otherside of the inequality. What is confusing me is how to determine once you factor and find the intervals and their signs, how do you know if you are looking for the positive or negative? Do you just assume that '>' means +ve and '<' means -ve??? I hope this makes sense!

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> means "greater than" and < means "less than." So, if your question involves > and you move all terms to the left side, you'll end up with a new inequality where there's a polynomial on the left of ">" and 0 on the right. That is, your trying to find when the resulting polynomial is greater than 0, so look for the + signs in the chart (positive means greater than 0). If the original question involves < and you move all terms to the left side, you'll end up looking for when a polynomial is less than zero, so go with the - signs.