Is there a value for x that will make (2x – 6)(x – 3) < 0 true?
Can students reason to an answer without trying to solve the inequality? They must think about zero and negatives in order to accurately address the problem.
Thinking about Inequalities
Common Core Standards:
Lim, K. H. (2006). Characterizing students' thinking: Algebraic inequalities and equations. Paper presented at the 28th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Mérida, México: Universidad Pedagógica Nacional.