Linear Inequalities
Systems of Linear Inequalities
1. Which of the following is the graph of the
compound inequality below?
2. Jake is building a fence around his property.
He wants the perimeter to be no more than 100
feet. He also wants the length to be at least 10
feet longer than the width. If he builds his
fence according to these limits, which would
be the maximum possible width of the fence?
x < 1 OR x > 7
Systems of Linear Inequalities
Linear Inequalities
3. Graph the following system of inequalities.
4. Graph the solution set for the inequality below?
y<5
|3x - 6| < 6
y<x
Linear Inequalities
Linear Inequalities
5. Solve the following inequality
6. Mrs. Davidson has 2,957 popsicle sticks to use
to make model houses. She used 100 of the sticks
to show her class how to make a basic structure.
She will divide the remaining sticks equally among
19 students. Which graph represents the number
of popsicle sticks each student can use?
Linear Inequalities
Linear Inequalities
7. Solve the following compound inequality.
8. Which of the following number lines shows
the solution to the inequality given below?
-24 < 5x + 1 < 21
2x - 4 < -14 OR 2x - 8 > 2
Systems of Linear Inequalities
9.
The drill team is selling candy at the football
games for a fundraiser. Students can buy the
candy for $2 and everyone else can buy the candy
for $3. They only have 200 bags of candy and they
need to make at least $500.
If the solution region is the amount of candy sold
to students and everyone else, which graph's
shaded area represents the solution region?
X.
W.
Y.
Z.
Systems of Linear Inequalities
10. Write the system of inequalities that
matches the graph below.
Linear Inequalities
11. Solve the following inequalities.
Systems of Linear Inequalities
12. Which graph represents the following
system of inequalities?
W.
Y.
X.
Systems of Linear Inequalities
13.
Julia works for a company selling light bulbs. She
sells fluorescent light bulbs for $5 a piece and
incandescent light bulbs for $2. To meet her quota,
she needs to sell over 100 light bulbs and make at
least $350.
If the solution region is the amount of light bulbs
Julia needs to sell to meet her quota, which
graph's shaded area represents the solution
region?
W.
X.
Y.
Z.
Systems of Linear Inequalities
14. Graph the following system of inequalities.
y > 1/2x - 2
y < -1/4x
Systems of Linear Inequalities
y<x+3
15. Graph the following system of inequalities.
y>x-3
Systems of Linear Inequalities
16. Write a system of inequalities that
represents the graph below?
17.
Which graph represents the system of
inequalities?
W.
Y.
X.
Z.
Linear Inequalities
Systems of Linear Inequalities
18. Make a graph that shows the solution to the
compound inequality given below?
19. Write the system of inequalities that best
matches the graph below.
7x + 9 > -40 AND -3x - 2 > -17
Linear Inequalities
Linear Inequalities
20. Make a graph that represents the solution set
for the inequality below?
3|x + 2| < 6
21. Make a graph that shows the solution to the
compound inequality given below?
-8 > -3x + 7 > -44
Linear Inequalities
Linear Inequalities
22. Solve the following inequality.
23. Every day, Courtney drives at least 23 miles but
never more than 36 miles. Graph a compound
inequality graphed below shows the number of
miles Courtney drives on any given day?
Linear Inequalities
Linear Inequalities
24. Solve the following compound inequality.
25. Which of the following number lines shows the
solution to the compound inequality given below?
3x - 3 > -15 OR -2x < -16
5x + 5 < 0 OR 5x - 3 > 22
Systems of Linear Inequalities
26. Graph the following system of inequalities.
y > 2x + 1
y > 1/3x + 3
Systems of Linear Inequalities
27. Write a system of inequalities is
represented by the graph below?
Systems of Linear Inequalities
Systems of Linear Inequalities
28. Choose the system of inequalities that best
matches the graph below
29. Graph the following system of inequalities.
y > 2/3x
y<2
Linear Inequalities
30. Solve the following inequalities.