﻿ Graphing Inequalities and Systems of Inequalities Worksheet | Problems & Solutions

# Graphing Inequalities and Systems of Inequalities Worksheet

Graphing Inequalities and Systems of Inequalities Worksheet
• Page 1
1.
Which of the graphs represents the inequality, - 3.8 + $x$ ≤ - 7.2?

 a. Figure 1 b. Figure 2 c. Figure 3 d. Figure 4

2.
Which of the following is a solution for the inequality, 2 < $n$ - 8?
 a. 10 b. 12 c. -6 d. 6

3.
Which of the graphs represents the inequality
- 7.7 + $x$ > - 3.8?

 a. Figure 1 b. Figure 2 c. Figure 3 d. Figure 4

4.
Solve:
$\frac{n}{5}$ - 4 ≥ - 2
 a. $n$ < 10 b. $n$ > 10 c. $n$ ≥ 10 d. $n$ ≤ 10

5.
Find the value of $k$ from the inequality:
3$k$ - 4 ≤ 2
 a. $k$ ≥ 3 b. $k$ < 2 c. $k$ > 5 d. $k$ ≤ 2

6.
Graph the system of linear inequalities:
$x$ ≥ 0
$y$ ≥ 0
4$x$ + 6$y$ ≤ 12

 a. Graph 1 b. Graph 2 c. Graph 3 d. Graph 4

7.
Identify the graph that represents the system of linear equations.
$x$ - $y$ = - 1
3$x$ + 2$y$ = 12

 a. Graph 3 b. Graph 4 c. Graph 2 d. Graph 1

8.
Identify the graph that represents the system of linear equations.
2$y$ + $x$ = 6
2$y$ = 3$x$ - 2

 a. Graph 4 b. Graph 2 c. Graph 1 d. Graph 3

9.
Identify the graph that represents the system of linear equations.
$x$ - $y$ = 1
2$x$ + 3$y$ = 12

 a. Graph 2 b. Graph 4 c. Graph 3 d. Graph 1

10.
Identify the graph that represents the system of linear equations.
$x$ + $y$ = 15
$y$ - $x$ = 3

 a. Graph 1 b. Graph 3 c. Graph 2 d. Graph 4