Free Printable Linear Inequalities in 1 Variable

1.

Which of the following graphs illustrate the inequality

x\le-4

?

a)

b)

c)

d)

2.

Which of the following graphs illustrate the inequality

-2<x\le4

?

a)

b)

c)

d)

3.

Which of the following graphs illustrate the inequality

-2\le x\le4

?

a)

b)

c)

d)

4.

What inequality is being illustrated by the image above?

a)

$x\ge-2$

b)

$x\le-2$

c)

$x>-2$

d)

$x<-2$

5.

What inequality is being illustrated by the image above?

a)

$0<x\le4$

b)

$0\le x<4$

c)

$0<x<4$

d)

$0\le x\le4$

6.

Translate the following verbal statement:

"A number cannot be greater than 15."

a)

$x<15$

b)

$x\le15$

c)

$x>15$

d)

$x\ge15$

7.

Translate the following verbal statement:

"You must be at least 5 feet tall to go on this ride."

a)

$x<5$

b)

$x\le5$

c)

$x>5$

d)

$x\ge5$

8.

What is the union of the inequalities above?

a)

$x>-4$

b)

$x\ge-4$

c)

$x>0$

d)

$x\ge0$

9.

What is the intersection of the inequalities above?

a)

$x>-4$

b)

$x\ge-4$

c)

$x>0$

d)

$x\ge0$

10.

What is the union of the inequalities above?

a)

$-1\le x<1$

b)

$-1<x\le1$

c)

$\left\{\ \ \right\}$

d)

$R$

11.

What is the intersection of the inequalities above?

a)

$-1\le x<1$

b)

$-1<x\le1$

c)

$\left\{\ \ \right\}$

d)

$R$

12.

What is the union of the inequalities above?

a)

$\left\{\ \ \right\}$

b)

$R$

c)

$x\ne0$

d)

$x=0$

13.

What is the imtersection of the inequalities above?

a)

$\left\{\ \ \right\}$

b)

$R$

c)

$x\ne0$

d)

$x=0$

14.

What is the solution set of

x+4>x-4

?

a)

$\left\{\ \ \right\}$

b)

$R$

c)

$x>0$

d)

$x>-8$

15.

What is the solution set of

x+4<x-4

?

a)

$\left\{\ \ \right\}$

b)

$R$

c)

$x>0$

d)

$x>-8$

16.

For which sets will the inequality $-1<x<0$ have a null solution set? (Click all that apply.)

a)

$R$

b)

$Z$

c)

$W$

d)

$N$

17.

Determine the solution set of

4x+7\ge x-5

.

a)

$x\le-4$

b)

$x\ge-4$

c)

$x\le\frac{2}{3}$

d)

$x\ge\frac{2}{3}$

18.

Determine the solution set of

13+x<3x+11

.

a)

$x>1$

b)

$x<1$

c)

$x>-1$

d)

$x<-1$

19.

Determine the solution set of

\frac{5x+4}{3}\le2x

.

a)

$x\le4$

b)

$x\ge4$

c)

$x\le\frac{4}{11}$

d)

$x\ge\frac{4}{11}$

20.

Determine the solution set of

x+\frac{3}{2}=\frac{2x-1}{5}

.

a)

$x>-\frac{2}{3}$

b)

$x>-\frac{5}{6}$

c)

$x>-\frac{8}{3}$

d)

$x>-\frac{17}{6}$

21.

Determine the solution set of

-7<2x-9\le5

.

a)

$-8<x\le-2$

b)

$-8>x\le-2$

c)

$1<x\le7$

d)

$1>x\le7$

22.

Determine the solution set of

-\frac{1}{2}<\frac{5-2x}{4}\le2

.

a)

$\frac{7}{2}<x\le-\frac{3}{2}$

b)

$-\frac{3}{2}<x\le\frac{7}{2}$

c)

$-\frac{7}{2}<x\le\frac{3}{2}$

d)

$\frac{3}{2}<x\le-\frac{7}{2}$

23.

Determine the solution set of

2+x<3x-5<5+4x

.

a)

$\frac{7}{2}<x<10$

b)

$10<x<\frac{7}{2}$

c)

$x>\frac{7}{2}$

d)

$x>10$

24.

Determine the solution set of

6x-2\le5x+8\le9x+1

.

a)

$\frac{7}{4}\le x\le10$

b)

$x\ge\frac{7}{4}$

c)

$x<10$

d)

$\left\{\ \ \right\}$

Linear Inequalities in 1 Variable

Total questions: 24

Worksheet time: 2hrs 46mins

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