Question

How are inequalities solved and what is important to remember about them?

Accepted Answer

Inequalities are solved like equalities, undoing operations performed on a variable to isolate it; however, any time an inequality is multiplied or divided by a negative number, the direction of the inequality sign changes.    
When graphing less than *and* greater than, use a dotted line and shade below or above, respectively.    
When graphing less than *or* equal to and greater than *or* equal to, use a solid line and shade below or above the line, respectively.

Flashcard 13 - Math Flashcard Set for the ACT

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