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 asking—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)