The Visual / Auditory / Symbolic / Kinesthetic Approach to Algebra

Linear Inequalities

      Mathematically and manipulatively solving inequalities is similar to solving equations.

      With inequalities, if you MULTIPLY or DIVIDE by a NEGATIVE NUMBER, the RELATION SYMBOL MUST BE "FLIPPED" as each side of the statement changes. Examine the examples below to see why a relation sign change is necessary only when one multiplies or divides by a negative.

      Inequalities, as equations, require two display area. With equations, the displays areas should be an equal distance from the user or table edge. With an inequality, the "greater" side should be a "greater distance" from the user. The "lesser" side should be a "smaller distance" from the user. Examine the examples below., Unit 25   © 2008, A. Azzolino