Algebra: Chapter 4, Lesson 2, page 175 and Chapter 4, Lesson 3, page 180.
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!
Here is a link from PURPLEMATH.com with some more examples!
The Multiplication Property of Inequalities
The property states if `c` is POSITIVE
- if `a < b`, then `ac < bc` and
- if `a > b`, then `ac > bc`
Where `c` is NEGATIVE
- if `a < b`, then `ac > bc` and
- if `a > b`, then `ac < bc`
Following the EXACT same steps as equalities, we have learned to solve 1 step equations with inequalities. The ONLY difference is when multiplying or dividing by a NEGATIVE number, we must REVERSE the sign of the inequality for the final solution!! If we divide or multiply by a positive number, we leave the inequality sign alone.
Here are some examples from purplemath.com that have to do with inequalities with products and divisions.
Two of tonight’s homework problems for Chapter 4-2 are solved by MrE are here! Just click it! Two more are here for Chapter 4-3 as well!
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Algebra 1a: Chapter 2 Daily Cumulative Review 2-9, all problems.
Chapter 2 test tomorrow, FRIDAY!
Make sure that you have your notes. It is multiple choice, in 2 versions and 43 questions in length. YOUR NOTES FOR THE CHAPTER TEST MAY EARN YOU SOME EXTRA CREDIT!!