1-5
Solving Inequalities
PART 2
Vocabulary
Review
1. Reverse each inequality symbol below. Write the new symbol in the box.
x.5
x
y $ 23
5
y
7,t
23
7
t
2. Consider the inequality 7 , t. When the inequality symbol is reversed, how does the
solution set change?
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Vocabulary Builder
compound inequality
compound (noun)
KAHM
pound
x 7 or x 5
Related Words: compound inequality, less than, greater than
Definition: A compound is made up of separate parts.
Math Usage: A compound inequality is made up of two or more simple inequalities
joined by and or or. The compound inequality 3 , x , 6 is read “x is less than 6
and greater than 3.”
Use Your Vocabulary
3. A student uses the word compound in three different sentences. Place a ✓ next to
the sentences that use the word correctly. Place an ✗ next to those that do not.
In chemistry class we learn about various chemical compounds.
Compound inequalities contain more than one inequality symbol.
To simplify an expression, you can compound like terms.
You can compound ingredients by putting them into a bowl.
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4. Cross out each inequality that is NOT a compound inequality.
21 . x or x , 5
Problem 5
y$0
23 , y # 7
9,x
Solving an And Inequality
Got It? What is the solution of 8 K 3x 2 1 and 2x R 12? Graph the solution.
5. Solve each inequality.
2
6. Graph each inequality.
1
2
3
4
5
6
7
1
2
3
4
5
6
7
7. Underline the correct words to complete each sentence.
The word and means the solutions must make both inequalities / either inequality true.
8. Describe the section of the graph that shows the solution of the compound inequality.
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9. Graph the solution set.
1
2
Problem 6
3
4
5
6
7
Solving an Or Inequality
Got It? What is the solution of 7w 1 3 S 11 or 4w 2 1 R 213? Graph the solution.
10. Solve each inequality.
11. Circle the phrases that correctly describe the graph of the solution to the
compound inequality.
closed boundary points
open boundary points
two rays pointing in opposite directions
numbers less than 23
numbers greater than 23
line segment
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12. Graph the solution.
5
4
3
2
0
1
1
2
3
4
5
13. The solution to 7w 1 3 . 11 or 4w 2 1 , 213 is all real numbers
less than
or greater than
.
Lesson Check • Do you UNDERSTAND?
Reasoning What is the solution of the inequality 2x 1 1 R 17 or x 1 4 S 12?
Explain what the solution means. Then graph the solution.
14. Complete to simplify each inequality.
2x 1 1 , 17
x 1 4 . 12
x,
x.
15. Underline the correct word or words to complete each sentence.
Or means that a solution makes both inequalities / either inequality true.
The graph of each simplified inequality includes / does not include the boundary point.
16. Describe the solution to the compound inequality.
Copyright © by Pearson Education, Inc. or its affiliates. All Rights Reserved.
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17. Graph the solution.
0
10
10
Math Success
Check off the vocabulary words that you understand.
compound inequality
“and” inequality
“or” inequality
Rate how well you can solve and graph inequalities.
Need to
review
0
2
4
6
8
10
Now I
get it!
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Lesson 1-5, Part 2
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