﻿ Solving Inequalities Using Addition or Subtraction Worksheet | Problems & Solutions

# Solving Inequalities Using Addition or Subtraction Worksheet

Solving Inequalities Using Addition or Subtraction Worksheet
• Page 1
1.
Which of the following is a solution for the inequality $x$ + 4.5 ≥ 6.8?
 a. 2.3 b. 2.1 c. 2.2 d. 2

#### Solution:

x + 4.5 ≥ 6.8
[Original inequality.]

x + 4.5 - 4.5 ≥ 6.8 - 4.5
[Subtract 4.5 from each side.]

x ≥ 2.3
[Simplify.]

The solution for the inequality is, all real numbers greater than or equal to 2.3

The solution for the inequality is 2.3 from the choices.

2.
Which of the graphs represents the solution for the inequality, $n$ - 5 < 1?

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

3.
For what values of $x$ is the inequality $x$ + 8 > 6 true?
 a. All real values except - 2 b. All real values less than - 2 c. All real values greater than - 2 d. All real values greater than or equal to - 2

4.
Which of the graphs represents the solution for the inequality, $z$ + $2\frac{3}{4}$ > - $4\frac{1}{4}$?

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

5.
For what values of $x$ is the inequality, $x$ + 43 < 33 true?
 a. $x$ < 10 b. $x$ > -10 c. $x$ > 10 d. $x$ < -10

6.
Identify the graph that represents the solution for the inequality, $n$ + 5 > 3.

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

7.
Which of the following is a solution for the inequality given?
$x$ + 4.4 ≥ 6.7
 a. - 11.1 b. 1.5 c. 2.2 d. 2.5

8.
Which of the following is a solution of the inequality 5 > $n$ - 12?
 a. 22 b. 27 c. 24 d. 12

9.
Which of the graphs represents the solution for the following inequality?
- 5.7 + $x$ ≥ - 1.8

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

Which of the graphs represents the solution for the inequality, $n$ - 2 > - 6?