Download Chapter 6.1 Solving Inequalities Using Addition and Subtraction

Chapter 6.1
Solving 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>3
x+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