6. Solve Inequalities by Addition or Subtraction
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Use the Addition Property of Inequality.
w ≥ 13.6
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.
| w | w - 8 ≥ 5.6 | Simplify | True or False? |
|---|---|---|---|
| 13.5 | 13.5 - 8 ≥ 5.6 | 5.5 ≱ 5.6 | False |
| 13.6 | 13.6 - 8 ≥ 5.6 | 5.6 ≥ 5.6 | True |
| 13.7 | 13.7 - 8 ≥ 5.6 | 5.7 ≥ 5.6 | True |
We can conclude that as long as w is greater than or equal to 13.6, the inequality is satisfied.