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# 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.

Correct answer : (1)
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

#### Answer: (c)

Correct answer : (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

#### Answer: (c)

Correct answer : (3)
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

#### Answer: (c)

Correct answer : (3)
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

#### Answer: (d)

Correct answer : (4)
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

#### Answer: (a)

Correct answer : (1)
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

#### Answer: (d)

Correct answer : (4)
8.
Which of the following is a solution of the inequality 5 > $n$ - 12?
 a. 22 b. 27 c. 24 d. 12

#### Answer: (d)

Correct answer : (4)
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

#### Answer: (d)

Correct answer : (4)
10.
Which of the graphs represents the solution for the inequality, $n$ - 2 > - 6?

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

#### Answer: (a)

Correct answer : (1)

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