Assessment Problem:

Is there a value for x that will make

(2x-6)(x-3)<0 true?

Common Responses:

(2x-6) > 0 and (x-3) < 0, so x>3 and x<3

OR

(2x-6) < 0 and (x-3) > 0, x < 3 and x < 3

No solution

Mathematical Issues:

Students are encouraged to think about what the question is askingâ€”how can the product of two numbers be negative?

Domain:

Algebraic Relations

Theme:

Equations & Inequalities

Common Core Standards:

7.EE: Expressions and Equations

Research References:

Reference (Lim, 2006)