Download Lesson 5.5B File

Lesson 5.5B: Inequalities in One Variable
Name ___________________________________________
Date __________
Hour __________
Example 1: Graph the solution to the inequality. Give 3 possible solutions to the inequality.
x  2
x = _____________________
Example 2: Write the inequality that would represent each solution below.
a.)
b.)
Solving one-variable inequalities is very similar to solving one-variable equations. Solve and compare
the solutions to the linear equation and linear inequalities below. Graph the solution on a number line.
2x + 4 = 22
2x + 4 > 22
2x + 4

22
From the investigation in Lesson 5.5A, we found that there is one difference that occurs that makes
solving an inequality different from solving an equation. Use your Lesson 5.5A note sheet to fill in the
blanks in the sentence below.
You flip the inequality symbol anytime you ___________________ by a negative on both sides or
______________________ by a negative on both sides.
Example 3: Solve the one-variable inequalities and graph their solutions.
a.) 4x  8  20
b.) 9x  3  21
c.)
2x 13  17
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Lesson 5.5B: Inequalities in One Variable
Example 4: Solve the inequality and graph the solution.
15x  33  2x 18
Example 5: Set up and solve an inequality in context.
a.)
A membership to a fitness club has an initiation fee of $90. Each month you are billed an
additional $30. Set up an inequality and find the maximum amount of time you can be a
member for $600.
b.)
You want to go to the state fair and try your luck playing the games on the midway. The
entrance fee is $5 and the games are $1.50. Write and solve an inequality that represents the
possible number of games you can play if you have $25.
What is the maximum number of games you can play?
ASSIGNMENT: ______________________________________________________
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