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Worksheets

Integer Solutions to Inequalities

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

Tick the inequality which represents the set of integers below.

 {2, 1, 0, 1, 2...}\left\{-2,\ -1,\ 0,\ 1,\ 2...\right\}  

a)

x ≥ 3

b)

x < -3

c)

-3 < x

d)

3 ≥ x

2.

Tick the inequality which represents the set of integers below.

 {...1, 0, 1, 2, 3}\left\{...1,\ 0,\ 1,\ 2,\ 3\right\}  

a)

x > 3

b)

-3 ≤ x

c)

x > -3

d)

x ≤ 3

3.

Tick the inequality which represents the set of integers below.

 {4, 5, 6, 7, 8...}\left\{4,\ 5,\ 6,\ 7,\ 8...\right\}  

a)

x > 3

b)

x ≤ -3

c)

-3 ≤ x

d)

3 > x

4.

Tick the inequality which represents the set of integers below.

 {...7,6,5,4,3}\left\{...-7,-6,-5,-4,-3\right\}  

a)

x ≤ 3

b)

-3 > x

c)

x ≤ -3

d)

x > 3

5.

 x3x\ge3  

Tick the set of integers shown by this inequality.

a)

{... -2, -1, 0, 1, 2}

b)

{... -1, 0, 1, 2, 3}

c)

{4, 5, 6, 7, 8...}

d)

{3, 4, 5, 6, 7...}

6.

 3<x-3<x  

Tick the set of integers shown by this inequality.

a)

{... -8, -7, -6, -5, -4}

b)

{-3, -2, -1, 0, 1...}

c)

{-2, -1, 0, 1, 2...}

d)

{... -7, -6, -5, -4, -3}

7.

 x3x\le3  

Tick the set of integers shown by this inequality.

a)

{... -2, -1, 0, 1, 2}

b)

{... -1, 0, 1, 2, 3}

c)

{3, 4, 5, 6, 7...}

d)

{4, 5, 6, 7, 8...}

8.

 3>x-3>x  

Tick the set of integers shown by this inequality.

a)

{... -8, -7, -6, -5, -4}

b)

{... -7, -6, -5, -4, -3}

c)

{-3, -2, -1, 0, 1...}

d)

{-2, -1, 0, 1, 2...}

9.

Tick the inequality which represents the set of integers below.
 {3, 2, 1, 0, 1, 2}\left\{-3,\ -2,\ -1,\ 0,\ 1,\ 2\right\}  

a)

2<x<3-2<x<3

b)

2<x3-2<x\le3

c)

3x<2-3\le x<2

d)

3x2-3\le x\le2

10.

Tick the inequality which represents the set of integers below.

 {1, 0, 1, 2}\left\{-1,\ 0,\ 1,\ 2\right\}  

a)

2<x<3-2<x<3

b)

2<x3-2<x\le3

c)

3x<2-3\le x<2

d)

3x2-3\le x\le2

11.

Tick the inequality which represents the set of integers below.

 {1, 0, 1, 2, 3}\left\{-1,\ 0,\ 1,\ 2,\ 3\right\}  

a)

2<x<3-2<x<3

b)

2<x3-2<x\le3

c)

3x<2-3\le x<2

d)

3x2-3\le x\le2

12.

Tick the inequality which represents the set of integers below.

 {3, 2, 1, 0, 1}\left\{-3,\ -2,\ -1,\ 0,\ 1\right\}  

a)

2<x<3-2<x<3

b)

2<x3-2<x\le3

c)

3x<2-3\le x<2

d)

3x2-3\le x\le2

13.

 2x3-2\le x\le3   

Tick the set of integers shown by this inequality.

a)

{-1, 0, 1, 2}

b)

{-2, -1, 0, 1, 2, 3}

c)

{-2, -1, 0, 1, 2}

d)

{-1, 0, 1, 2, 3}

14.

 2x<3-2\le x<3   

Tick the set of integers shown by this inequality.

a)

{-1, 0, 1, 2}

b)

{-1, 0, 1, 2, 3}

c)

{-2, -1, 0, 1, 2}

d)

{-2, -1, 0, 1, 2, 3}

15.

 3<x<2-3<x<2   

Tick the set of integers shown by this inequality.

a)

{-2, -1, 0, 1}

b)

{-3, -2, -1, 0, 1}

c)

{-2, -1, 0, 1, 2}

d)

{-3, -2, -1, 0, 1, 2}

16.

 3<x2-3<x\le2   

Tick the set of integers shown by this inequality.

a)

{-3, -2, -1, 0, 1}

b)

{-3, -2, -1, 0, 1, 2}

c)

{-2, -1, 0, 1}

d)

{-2, -1, 0, 1, 2}

17.

Tick the two inequalities which represent the set of integers below.
 {1, 0, 1, 2, 3}\left\{-1,\ 0,\ 1,\ 2,\ 3\right\}  

a)

 1x<4-1\le x<4  

b)

 1<x3-1<x\le3  

c)

 2<x3-2<x\le3  

d)

 2x<4-2\le x<4  

18.

Tick the two inequalities which represent the set of integers below.
 {3,2,1, 0, 1}\left\{-3,-2,-1,\ 0,\ 1\right\}  

a)

 3<x1-3<x\le1  

b)

 3x<2-3\le x<2  

c)

 4x<2-4\le x<2  

d)

 4<x1-4<x\le1  

19.

Tick the two inequalities which represent the set of integers below.
{1, 0, 1, 2, 3}\left\{-1,\ 0,\ 1,\ 2,\ 3\right\}

a)

2<x<4-2<x<4

b)

1x3-1\le x\le3

c)

2x4-2\le x\le4

d)

1<x<3-1<x<3

20.

Tick the two inequalities which represent the set of integers below.
{3,2,1, 0, 1}\left\{-3,-2,-1,\ 0,\ 1\right\}

a)

3<x<1-3<x<1

b)

4x2-4\le x\le2

c)

3x1-3\le x\le1

d)

4<x<2-4<x<2