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Name
Period
3-1
Date
Notes-Activity
Inequalities and Their Graphs
Vocabulary
Inequality: a mathematical sentence that uses an inequality symbol to compare the values of
two expressions
Inequality Symbols: <, >, , 
Examples:
3 > 2, 5 + 7 < 11, and x – 2  4
Nonexamples:
4 + 4 = 8, x – 3 = 17
Solution to an Inequality: any number that makes the inequality true
Graph an inequality:
1.
an open dot on a graph means the number is not part of the solution. Use for < or >.
2
a closed dot on a graph means the number is part of the solution. Use for  or  .
Use your Vocabulary
Write an inequality that represents each verbal expression.
1.
all real numbers p greater than or equal to 1.5.
2.
4 less than a number y is greater than 10
3.
The quotient of a number x and 12 is less than or equal to 8
Write each inequality in words.
1. n < 5
2.
h > -3
Determine whether each number is a solution of the given inequality.
13  7 y  6
1.
a.
-1
b.
0
c.
1
Graph each inequality.
1.
x>-4
2.
x3
d.
3
Write an inequality for each graph.
1.
Define a variable and write an inequality to describe each situation.
1.
2.
The legal speeds given the speed limit sign.
You must be at least 42 inches tall to ride the roller coaster.
Apply your Vocabulary
Class Party You are making muffins for a class party. You need 2 cups of flour to
make a pan of 12 muffins. You have a 5-lb bag of flour, which contains 20 cups of flour.
Write an inequality that represents the possible numbers of muffins you can make.
What do you know?
1.
cups make
muffins.
2. The maximum number of cups in a 5-lb bag of flour is
cups.
What do you need to solve the problem?
3. What is the greatest number of muffins you can make with a 5-lb bag of flour?
How do you solve the problem?
4. What inequality can you use to describe n, the possible number of muffins you can make
with 2 cups of flour?
5. What inequality can you use to show the possible number of muffins you make with 20 cups
of flour?
6. What are two solutions to the inequality for 20 cups?
7. What is the greatest possible solution?
8. Are all solutions to the inequality reasonable? Explain.
Homework: pg 168- 170, 8-34 even, 35-39 odd, 40-43 all, 44-54 even