1.5 Solving Inequalities
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This document discusses solving linear inequalities and the key differences compared to solving linear equations. It explains that inequalities can have an infinite number of solutions represented as an interval, inequality, or graph. When solving inequalities, the same algebraic steps are followed as with equations, but the inequality symbol must be reversed if multiplying or dividing both sides by a negative number.
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1.5 Solving Inequalities
- 1. College Algebra 1.5 Solving Inequalities
- 2. 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
- 4. Write each inequality using interval notation: Write each interval as an inequality involving x .
- 5. 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……….
- 6. Note the inequality symbol must be reversed!
- 7. ***When you multiply or divide both sides of an inequality by a ____________ number, reverse the_______________. The ‘Difference’ between solving Linear Equations and Linear Inequalities
- 11. Solve the inequality: Graph the solution set.