Algebra: Chapter 4, Lesson 2, page 175.
The Addition Property of Inequalities
Don’t forget, the equations:
- if `a < b`, then `a + c < b + c`
- if `a > b`, then `a + c > b + c`
and similar statements are true for ≤ and ≥
For inequality of one step, follow the EXACT same steps as equalities. The only things we have to remember when graphing on a number line:
- For the symbols ≤ and ≥, the circle must be CLOSED because we INCLUDE the data point
- For the symbols < and >, the circle must be OPEN because we get as close as possible to the data point but it is NOT INCLUDED!