Absolute Value Inequalities When solving an absolute
value equation or inequality, understand that the value of the “inside” of the absolute value symbol may be
positive or negative ... once the absolute value is evaluated the result is always
positive. In other words, Absolute value inequalities are solved in a similar fashion as absolute value equations. Understand that the “less than” and “less than or equal to” inequalities are compound statements. Solve
the inequality: Solving this compound inequality would
provide the result that (graph) [ ] -1 4 (interval notation)
The “greater than” and
“greater than or equal to” inequalities are disjoint statements. This means that you must “dis”join them
or take them apart to solve. The answer to
the inequality will be greater than the positive value of the number Solve the inequality: Solving these inequalities would provide
the result (graph) ) ( -1 4 (interval notation) The views and
opinions expressed in this page are strictly those of Mary Lou Baker. This page was edited on 09-Jan-2014 |