6. Solve Inequalities by Addition or Subtraction
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Use the Addition Property of Inequality.
n > 5
Inequalities can be solved in the same way as equations, by performing inverse operations on both sides until the variable is isolated. Let's use the Addition Property of Inequality to solve the inequality.
LHS+8
Add terms
Rearrange equation
The above tells us that all values of n that are greater than 5 will satisfy the inequality.
| 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.