1.6 Solving Linear Inequalities

  • Solve linear inequalities.

  • Solve compound inequalities.

  • Solve applied problems using inequalities.

An inequality is a sentence with <, >, , or as its verb. An example is 3x5<62x. To solve an inequality is to find all values of the variable that make the inequality true. Each of these values is a solution of the inequality, and the set of all such solutions is its solution set. Inequalities that have the same solution set are called equivalent inequalities.

Linear Inequalities

The principles for solving inequalities are similar to those for solving equations.

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