Algebra
Name _______________________________ Date ___________
Graph Sentences
Look at the following inequalities. Circle the answer that shows what must be done first
to both sides of the inequality to solve it.
a.
n
–5 ≥ 6
8
Add 5.
b.
Multiply by 5.
Subtract 5.
Subtract –6.
Multiply by –2.
Subtract 3.
Subtract 7.
n
+3 ≤ 7
2
−
Add 3.
Look at the following inequalities. Circle the answer that shows what must be done next
to both sides of the inequality to solve it, then answer the question.
c. –2n > –10
Add –2.
Multiply by –2.
Add –2.
Must the inequality sign be reversed (or flipped) to solve?
d.
Divide by –2.
Yes
No
n –
< 14
7
Add –7.
Multiply by 7.
Must the inequality sign be reversed (or flipped) to solve?
© 2003 CompassLearning, Inc.
Page 1
Multiply by –7.
Divide by 7.
Yes
No
Activity 8080/8122
Algebra
Name _______________________________ Date ___________
Graph Sentences
n
– 8 ≤ –3. Remember to reverse (or flip) the inequality
5
symbol if you multiply or divide by a negative number. Show your work. Graph your
Solve the following inequality:
−
answer on the number line below.
n
– 8 ≤ –3
5
−
n
– 8 + 8 ≤ –3 + 8
5
−
n
≤ 5
5
−
n
× –5 ≤ –5 × –5
5
−
n ≥ –25
–
27 –26
Since we multiplied by a negative number, the inequality symbol needs
to be reversed (or flipped) to correctly solve the inequality for n.
–
25
–
24 –23 –22
–
21 –20
–
19 –18
–
17 –16
–
15 –14
–
13
–
14
–
13
Now, test your graph by choosing a number that the arrow covers. Substitute that
number for the value of n and solve. Show your work.
n
– 8 ≤ –3
5
−
n = ____
Select any point on the graph that is greater than –25 as a test. For
example, let n = –20:
−
20
– 8 ≤ –3
−
5
© 2003 CompassLearning, Inc.
4 – 8 ≤ –3
Page 2
–
4 ≤ –3 = true 3
Activity 8080/8122
Algebra
Name _______________________________ Date ___________
Graph Sentences
On the number line below, graph the compound inequality n ≥ 25 and n ≤ 33.
20 21
22
23 24
25 26
27
28
29
30 31
32
33
34
35 36
On the number line below, graph the compound inequality n < –4 or n > 3.
–
8
–
7
–
–
6
5
–
4
–
3
–
2
–
1
0
1
2
3
3
4
5
6
7
On the number line below, graph the compound inequality n ≤ –6 and n ≥ 5.
–
8
–
7
–
–
6
5
–
4
–
3
–
2
–
1
0
1
2
3
3
4
5
6
7
To travel from Middleburg to Martinville, airline passengers could pay either less than
$60 for a regular ticket or more than $90 for a first-class ticket. Circle the compound
inequality below that matches this description. Then, graph the inequality on the
number line below.
n < 60 and n > 90
0
10
20
30 40
© 2003 CompassLearning, Inc.
n < 60 or n > 90
50 60
70
80
n > 60 or n < 90
90 100 110 120 130 140 150 160
Page 3
Activity 8080/8122
Algebra
Name _______________________________ Date ___________
Graph Sentences
Airplanes either need servicing every 10 or fewer flights or after more than 10 flights.
Circle the compound inequality below that matches this description. Then, graph the
compound inequality on the number line below.
n ≤ 10 or n > 10
0
1
n ≥ 10 or n < 10
2
3
4
5
6
7
8
9
n ≤ 10 and n < 10
10 11
12
13
14
15 16
Blue Skies Airlines must have at least 75 passengers to schedule a chartered flight, but
must have no more than 110 passengers on each plane. Find the compound equality
that illustrates the information in this description. Then, graph the compound inequality
on the number line below.
n ≥ 75 and n ≤ 110
40 45
50
55 60
© 2003 CompassLearning, Inc.
65 70
75
80
85
Page 4
90 95 100 105 110 115 120
Activity 8080/8122