
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. 
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