We want to write an inequality that compares the numbers - 3 and - 6. To do so, we will mark both numbers on the same number line. Let's do it!
We can see that the number - 3 is to the right from the number - 6. This means that - 3 is greater than - 6. Let's write it as an inequality.
- 3 > - 6
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.
- 3 + 2 ? > - 6 + 2 ⇒ - 1 > - 4 ✓
