Solving Inequalities (using Addition and Subtraction) Worksheet

**Page 1**

1.

Which of the following is a solution to the inequality, $n$ + 3 > 49?

a. | 44 | ||

b. | 49 | ||

c. | 43 | ||

d. | 41 |

[Original inequality.]

[Subtract 3 from each side.]

[Simplify.]

Among the choices, 49 is the only number that is a solution of the inequality

Correct answer : (2)

2.

Solve the inequality.

$x$ - 0.7 ≤ 2.1

a. | $x$ ≤ -2.8 | ||

b. | $x$ ≥ 2.8 | ||

c. | $x$ ≤ 2.8 | ||

d. | $x$ ≥ -2.8 |

[Original inequality.]

[Add 0.7 to each side.]

[Simplify.]

Correct answer : (3)

3.

Which of the following choices is a solution of the inequality, $n$ + 4 < 74?

a. | 74 | ||

b. | 68 | ||

c. | 74 | ||

d. | 72 |

[Original inequality.]

[Subtract 4 from each side.]

[Simplify.]

Among the choices, 68 is the only number that is a solution of the inequality

Correct answer : (2)

4.

Which of the following choices is the solution for the inequality, $n$ - 5 > 26?

a. | 27 | ||

b. | 26 | ||

c. | 30 | ||

d. | 32 |

[Original inequality.]

[Add 5 to each side.]

[Simplify.]

Among the choices, 32 is the only number that is a solution of the inequality

Correct answer : (4)

5.

Which of the following choices is the solution for the inequality, 2$x$ + 1 > 3?

a. | 1 | ||

b. | -1 | ||

c. | 2 |

[Original inequality.]

2

[Subtract 1 from each side.]

2

[Simplify.]

[Divide each side by 2.]

[Simplify.]

The solution greater than 1 from the choices is 2.

Correct answer : (4)

6.

Which of the following choices is a solution of the inequality, $x$ - $\frac{5}{4}$ > 3?

a. | 4 | ||

b. | 5 | ||

c. | 2 | ||

d. | 3 |

[Original inequality.]

[Add

[Simplify.]

Among the choices, 5 is the only number that is a solution of the inequality

Correct answer : (2)

7.

Which of the following choices is the solution for the inequality, $x$ - $\frac{3}{4}$ < 2?

a. | 4 | ||

b. | 2 | ||

c. | 5 | ||

d. | 3 |

[Original inequality.]

[Add

[Simplify.]

[express the fraction as decimal.]

Among the choices, 2 is the only number that is solution for the inequatiy

Correct answer : (2)

8.

Which of the following choices is the solution of the inequality, $x$ + $\frac{1}{4}$ < 12?

a. | 13 | ||

b. | 14 | ||

c. | 11 | ||

d. | 12 |

[Original inequality.]

[Subtract

[Simplify.]

Among the choices, 11 is the only number that is a solution of the inequality

Correct answer : (3)

9.

Solve the inequality.

$x$ + $\frac{4}{5}$ > 8

a. | $x$ < $\frac{36}{5}$ | ||

b. | $x$ > $\frac{36}{5}$ | ||

c. | $x$ ≥ $\frac{36}{5}$ | ||

d. | $x$ ≤ $\frac{36}{5}$ |

[Original inequality.]

[Subtract

[Simplify.]

Correct answer : (2)

10.

Solve the inequality.

$n$ - $\frac{4}{5}$ < $\frac{3}{4}$

a. | $n$ < $\frac{31}{20}$ | ||

b. | $n$ ≤ $\frac{31}{20}$ | ||

c. | $n$ ≥ $\frac{31}{20}$ | ||

d. | $n$ > $\frac{31}{20}$ |

[Original inequality.]

[Add

[Simplify.]

[Simplify.]

Correct answer : (1)