6. Solve Inequalities by Addition or Subtraction
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Use the Subtraction Property of Inequality.
m ≥ 1.6
LHS-1.4≤RHS-1.4
Add terms
Rearrange equation
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.
| m | 3 ≤ m + 1.4 | Simplify | True or False? |
|---|---|---|---|
| 1.5 | 3 ≤ 1.5 + 1.4 | 3 ≰ 2.9 | False |
| 1.6 | 3 ≤ 1.6 + 1.4 | 3 ≤ 3 | True |
| 1.7 | 3 ≤ 1.7 + 1.4 | 3 ≤ 3.1 | True |
We can conclude that as long as m is greater than or equal to 1.6, the inequality is satisfied.