Lesson Worksheet: Inequalities on a Number Line
Mathematics • 6th Grade

In this worksheet, we will practice finding and deducing the one-variable linear inequality from a specific given interval represented on the number line.

Q1:

What inequality is represented on the given figure?

A

B

C

D

Q2:

Which part of the shown line represents the set of solutions to the inequality ?

AA

BB

Q3:

Which of the following inequalities have been represented on the number line?

A or

B or

C and

D

E

Q4:

Which part of the shown line represents the set of solutions to the inequality ?

AB

BA

Q5:

Which of the following diagrams represents the inequality ?

A

B

C

D

Q6:

What inequality is represented on the given figure?

A

B

C

D

Q7:

Which inequality is represented on this number line?

A

B

C

D

Q8:

Which part of the shown line represents the set of solutions to the inequality ?

AA

BB

CC

Q9:

What inequality is represented on the given figure?

A

B

C

D

Q10:

What inequality is represented on the given figure?

A

B

C

D

Q11:

What inequality is represented on the given figure?

A

B

C

D

Q12:

What inequality is represented on the given figure?

A

B

C

D

Q13:

What inequality is represented on the given figure?

A

B

C

D

Q14:

What inequality is represented on the given figure?

A

B

C

D

Q15:

What inequality is represented on the given figure?

A

B

C

D

Q16:

What inequality is represented on the given figure?

A

B

C

D

Q17:

What inequality is represented on the given figure?

A

B

C

D

Q18:

The situation where has to be at least 2 away from 1 can be expressed by the compound inequality or .
Which of the following number lines represents this inequality?

A

B

C

D

Q19:

What inequality is represented in the given figure?

A

B

C

D

E

Q20:

Which of the following diagrams represents the inequality ?

A

B

C

D

E

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