Name _______________________________________ Date __________________ Period #________________
SMART START: Creating and Solving Compound Inequalities
For the compound inequalities below, determine whether the inequality results in an
overlapping region or a combined region. Then determine whether the circles are open are
closed. Finally, graph the compound inequality. The first one is done for you.
1. x  4
x  13
AND
open overlapping closed
_________________________________________
2. x  4
x  13
OR
_________________________________________
For 3 and 4, first simplify the inequalities.
3. x  1  5
AND
2x  14
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4. x  4  0
OR
5x  30
_______________________________________
Answer the questions below. The first one is done for you.
5. Describe the graphs for compound inequalities formed by using the word AND.
________________________________________________________________________________________
________________________________________________________________________________________
6. Describe the graphs for compound inequalities formed by using the word OR.
________________________________________________________________________________________
________________________________________________________________________________________
1
Name: ______________________________________________________________________
Ms. Kinzer
Inequality Test Review Sheet
Date: _________________
Period # __________
For each question answer True or False. Bubble in the letter “A” for True and “B” for False.
________________ 1. The graph of the inequality – 𝑥 ≤ 3 would have a closed circle and an arrow to the left.
________________ 2. The cafeteria can fit at most 300 students is represented by 𝑠 < 300.
________________ 3. Anthony will received at least 8 presents from Santa is represented by 𝑝 ≥ 8 .
________________ 4. The inequality 6 less than twice a number is greater than 8 is written as 2𝑥 − 6 < 24 .
_________________ 5. Anytime you multiply or divide both sides of an inequality symbol by a negative
number, you must flip the inequality symbol.
For each inequality below, bubble in “A” if its graph will have an open circle or “B” for a closed
circle.
6.
– 𝑥 − 4 < 2𝑥 + 3
[A] Open Circle
[B] Closed Circle
7.
– 4𝑥 > 3(𝑥 + 3)
[A] Open Circle
[B] Closed Circle
8.
– 10 𝑥 ≥ 0
[A] Open Circle
[B] Closed Circle
9.
– 16 ≤ 2 𝑥 + 9
[A] Open Circle
[B] Closed Circle
1
Multiple Choice: Show your work. Circle your answer & bubble it in on the scantron.
10.
12.
11.
13.
14.
18.
15.
19.
16.
20.
21. Determine which choice represents all of the
2
solutions to the inequality 9 𝑥 > 6 .
17.
22. Which graph represents the solution set for
?
24.
23.
25. Solve −4 ≤
−𝑥+2
4
<8
[A] −18 ≤ 𝑥 < 30
[B] −14 ≤ 𝑥 < 30
[C] −30 < 𝑥 ≤ 18
[D] −30 < 𝑥 ≤ 14
Extra Credit:
1.
2. Solve for all values of x: −6|2𝑥 − 1| = −56