6. Solve Inequalities by Addition or Subtraction
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Use the Addition Property of Inequality.
h ≤ - 8
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.
The above tells us that all values of h that are less than or equal to - 8 will satisfy the inequality.
| h | h - 16 ≤ - 24 | Simplify | True or False? |
|---|---|---|---|
| - 7 | - 7 - 16 ≤ - 24 | - 23 ≰ - 24 | False |
| - 8 | - 8 - 16 ≤ - 24 | - 24 ≤ - 24 | True |
| - 9 | - 9 - 16 ≤ - 24 | - 25 ≤ - 24 | True |
We can conclude that as long as h is less than or equal to - 8, the inequality is satisfied.