Solving Inequalities Using Multiplication or Division Worksheet

Solving Inequalities Using Multiplication or Division Worksheet
• Page 1
1.
Which of the graphs represents the solution for the inequality, $\frac{x}{6}$ < - 3?

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

2.
Which of the choices represents the solution for the inequality, 36$b$ ≥ - 4?
 a. $b$ > - $\frac{1}{9}$ b. $b$ < - $\frac{1}{9}$ c. $b$ ≥ - $\frac{1}{9}$ d. $b$ ≤ - $\frac{1}{9}$

3.
Solve the inequality:
36 > - 4$n$
 a. $n$ > - 9 b. $n$ < - 9 c. $n$ ≥ - 9 d. $n$ ≤ - 9

4.
Solve the inequality:
- 4$y$ ≤ 20
 a. $y$ ≤ - 5 b. $y$ ≥ - 5 c. $y$ < - 5 d. $y$ > - 5

5.
Nathan and his friend plan to sell magazines. They manage to sell 7 magazines per hour. Find the time($t$) they need to sell 77 magazines.
 a. $t$ > 11 b. $t$ ≤ 11 c. $t$ ≥ - 11 d. $t$ ≥ 11

6.
Solve the inequality:
- 18 < 9$y$
 a. $y$ < - 2 b. $y$ = - 2 c. $y$ > - 9 d. $y$ > - 2

7.
Find the solution for the inequality:
$\frac{r}{2}$ ≤ - 1.495
 a. $r$ ≤ - 2.99 b. $r$ > -0.505 c. $r$ < - 3.495 d. $r$ ≥ - 1.495

8.
Solve the inequality:
- ≤ 10
 a. $h$ ≥ $\frac{1}{4}$ b. $h$ ≥ - $\frac{1}{4}$ c. $h$ ≥ - 4 d. $h$ ≤ 4

9.
Find the solution for the inequality:
- $\frac{9x}{8}$ ≤ - $\frac{27}{32}$
 a. $x$ ≤ $\frac{3}{4}$ b. $x$ > $\frac{3}{4}$ c. $x$ < $\frac{3}{4}$ d. $x$ ≥ $\frac{3}{4}$

10.
Solve the inequality :
- $\frac{1}{5}$$x$ ≤ - 5
 a. $x$ ≥ - 25 b. $x$ ≥ 25 c. $x$ ≤ 25 d. $x$ ≥ $\frac{1}{25}$