6. Solve Inequalities by Addition or Subtraction
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Use the Subtraction Property of Inequality.
x > - 1
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.
| x | x + 0.7 > - 0.3 | Simplify | True or False? |
|---|---|---|---|
| - 1 | - 1 + 0.7 > - 0.3 | - 0.3 ≯ - 0.3 | False |
| 0 | 0 + 0.7 > - 0.3 | 0.7 > - 0.3 | True |
| 1 | 1 + 0.7 > - 0.3 | 1.7 > - 0.3 | True |
We can conclude that as long as x is greater than - 1, the inequality is satisfied.