The above tells us that all values of c that are greater than - 1 14 will satisfy the inequality.
Checking Our Answer
Let's Check Our Answer!
We can check our solution by substituting a few values into the given inequality. The value satisfies the inequality if the inequality remains true after substituting and simplifying.
c
c - 1 14 > - 2 12
Simplify
True or False?
- 1 14
- 1 14 - 1 14 > - 2 12
- 2 12 ≯ - 2 12
False
- 1
- 1 - 1 14 > - 2 12
- 2 14 > - 2 12
True
0
0 - 1 14 > - 2 12
- 1 14 > - 2 12
True
We can conclude that as long as c is greater than - 1 14, the inequality is satisfied.
