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 |

[Original inequality.]

[Subtract 4.5 from each side.]

[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 |

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 |

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 |

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 |

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 |

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 |

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 |

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 |

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 |

Correct answer : (1)