6. Solve Inequalities by Addition or Subtraction
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Use the Addition Property of Inequality.
h ≤ - 8
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.
| 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.