College Algebra 1.5 Solving Inequalities

Equations vs. Inequalities Equations : finite # of solutions Example: x = 2 or x = -3 There are 3 methods of expressing the solution to an inequality . 1. Interval 2. Inequality 3. Graph Inequality : infinite # of solutions Example: -5 < x < 3

Equations : finite # of solutions

Example: x = 2 or x = -3

Write each inequality using interval notation: Write each interval as an inequality involving x .

Solving Linear Inequalities Solve Linear Inequalities in almost the same way you solved Linear Equations. You may add, subtract, multiply, or divide each side by the same number. BUT notice what happens when you multiply (or divide) both sides by a negative number……….

Solve Linear Inequalities in almost the

same way you solved Linear Equations.

You may add, subtract, multiply, or divide each side by the same number.

Note the inequality symbol must be reversed!

***When you multiply or divide both sides of an inequality by a ____________ number, reverse the_______________. The ‘Difference’ between solving Linear Equations and Linear Inequalities

***When you multiply or divide

both sides of an inequality by a

____________ number,

reverse the_______________.

Solve the inequality: Graph the solution set.