5. Solving Inequalities Using Addition or Subtraction
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Mark both numbers on the same number line.
- 4 < - 1, see solution.
We want to write an inequality that compares the numbers - 4 and - 1. To do so, we will mark both numbers on the same number line. Let's do it!
- 4 < - 1 Now, we want to determine whether the inequality remains true when we add 2 to each side. Let's recall the Addition Property of Inequality.
Addition Property of Inequality |
When you add the same number to each side of an inequality, the inequality remains true. |
This means we can add 2 to each side of the inequality and it remains true. Let's check it by adding 2 to both sides of the inequality. - 4 + 2 ? < - 1 + 2 ⇒ - 2 < 1 ✓