Related Topics:

More Lessons for Algebra

Math Worksheets

When we

* Example: *

a) 3 is added to both sides of 4 < 10

b) 4 is subtracted from 7 > 2

* Solution: *

4 + 3 < 10 + 3

7 < 13

b) 7 > 2

7 – 4 > 2 – 4

3 > – 2

When we multiply or divide the same

* Example: *

a) 3 < 5 is multiplied both sides by 2

b) 18 > 9 is divided both sides by 3

* Solution: *

3 × 2 < 5 × 2

6 < 10

b) 18 > 9

18 ÷ 3 > 9 ÷ 3

6 > 3

* Example: *

a) 4 < 11 is multiplied both sides by – 2

b) 30 > –9 is divided both sides by –3

* Solution: *

4 × (– 2) < 11 × (– 2)

–8 > –22 (

b) 30 > –9

30 ÷ (–3) > (–9) ÷ (–3)

–10 < 3 (

The following videos show more examples of solving inequalities:

Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.