6. Solve Inequalities by Addition or Subtraction
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Use the Addition Property of Inequality.
n > 5
LHS+8
Add terms
Rearrange equation
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.
| n | - 3 < n - 8 | Simplify | True or False? |
|---|---|---|---|
| 5 | - 3 < 5 - 8 | - 3 ≮ - 3 | False |
| 6 | - 3 < 6 - 8 | - 3 < - 2 | True |
| 7 | - 3 < 7 - 8 | - 3 < - 1 | True |
We can conclude that as long as n is greater than 5, the inequality is satisfied.