mgb5e_ppt_2_9

# mgb5e_ppt_2_9 - 2.9 Solving Linear Inequalities Linear...

This preview shows pages 1–6. Sign up to view the full content.

§ 2.9 Solving Linear Inequalities

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Martin-Gay, Beginning Algebra, 5ed 2 Linear Inequalities in One Variable A linear inequality in one variable is an inequality that can be written in the form ax + b < c where a , b , and c are real numbers and a is not 0. This definition and all other definitions, properties and steps in this section also hold true for the inequality symbols >, , or .
Martin-Gay, Beginning Algebra, 5ed 3 Graphing Solutions to Linear Inequalities Use a number line. Use a closed circle at the endpoint of an interval if you want to include the point. Use an open circle at the endpoint if you DO NOT want to include the point. 7 Represents the set { x x 7}. -4 Represents the set { x x > – 4}. Solutions to Linear Inequalities Interval notation , is used to write solution sets of inequalities. Use a parenthesis if you want to include the number Use a bracket if you DO NOT want to include the number. .

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Martin-Gay, Beginning Algebra, 5ed 4 Solutions to Linear Inequalities x < 3 0 1 2 3 4 5 x < 3 –2 < x < 0 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 Interval notation: (–∞, 3) Interval notation: (–2, 0) Interval notation: [–1.5, 3) NOT included Included
Martin-Gay, Beginning Algebra, 5ed 5 Addition Property of Inequality If a , b , and c are real numbers, then a < b and a + c < b + c are equivalent inequalities.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 06/10/2009 for the course MAC 1103 taught by Professor Prescott during the Spring '09 term at Pasco-Hernando Community College.

### Page1 / 15

mgb5e_ppt_2_9 - 2.9 Solving Linear Inequalities Linear...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online