Chapter 6.1Solving Inequalities Using Addition and Subtraction

Mr. Beltz & Mr. Sparks

P.323

• Goal: Solve and graph one-step inequalities in one variable using addition or subtraction.

Refresher< Less than

Greater than >< Less than or equal to

Greater than or equal to >

• Graph of an Inequality: in one variable is the set of points on a number line that represents all the solutions of the inequality. – If the endpoint on the graph is a solution, draw a

solid dot. (< >)

– If the endpoint on the graph is NOT a solution, draw

an open dot. (< >)

Graph an Inequality in One Variable

a) x < 2 All real numbers less than 2

b) a > -2 All real numbers greater than -2

c) z < 1 All real numbers less than or equal to 1

d) d > 0 All real numbers greater than or equal to 0

Using Subtraction to Solve an Inequality

Solve x + 5 > 3x + 5 > 3 -5 -5 x > 3 -5

x > -2

Using Addition to Solve an Inequality

• Solve -2 > n – 4

+4 + 4 -2 + 4 > n

2 > n

Practice

• p.323-325 #1-10