Question

Using this linear inequality: 10C + 4 > 2C

Explain how to solve the inequality use both English and Math Sentences in your explanation, and how complete your explanation is.

Answer 1

C > –½

Explanation:

10C + 4 > 2C

The above inequality can be solved as follow:

10C + 4 > 2C

Collect like terms

4 > 2C – 10C

4 > – 8C

Divide both side by –8

Note: the inequality sign will change since we are dividing by a negative value.

4/ –8 < –8C/ –8

– ½ < C

Thus,

C > –½