6. Solve Inequalities by Addition or Subtraction
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Use the Subtraction Property of Inequality.
y ≥ - 19
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.
| y | y + 6 ≥ - 13 | Simplify | True or False? |
|---|---|---|---|
| - 20 | - 20 + 6 ≥ - 13 | - 14 ≱ - 13 | False |
| - 19 | - 19 + 6 ≥ - 13 | - 13 ≥ - 13 | True |
| - 18 | - 18 + 6 ≥ - 13 | - 12 ≥ - 13 | True |
We can conclude that as long as y is greater than or equal to - 19, the inequality is satisfied.