Precalculus Section 3.1 Solve and graph linear inequalities A linear inequality in one variable takes the form: ax + b > c or ax + b < c To solve an inequality, you can: 1.add/subtract the same number from both sides. 2.Multiply/ divide both sides by the same positive number 3.Multiply/ divide both sides by the same negative number and reverse the inequality sign. Solve and graph 5x – 7 < 9 – 3x

Solve and graph 8 – 2x > 6 5

Solve and graph x+2 _ 2-x + 4x-5 <

The absolute value of a number is it distance from the origin on a number line. | x | = c means x = c and x = -c ½ | x-5| + 7 = 9 Solve and graph: | x| = 6

Absolute value inequalities | x | < c means -c < x < c | x | > c means x c

Solve and graph | x + 5 | < 7¼ | x – 3 | + 5 > 8

Solve | 2x – 7 | + 6 < 83 | x + 2 | - 7 > 11

Assignment Page 98 Problems 2-24 even, 25,28