Algebra Honors ( Periods 5 & 6)

Inequalities in One Variable
Solving Problems Involving  Inequalities 10-3

For practice, we went through the examples in our textbook on Page 469
We discovered that reading and re-reading the problem was critical to make sure we answered the exact question.  As noted in Example 1: the question asked what is the minimum total distance, to the nearest mile, that she will have to travel...?"  The critical part, was "to the nearest mile."  Please read the problem and then realize  why re arrived at the following:
Let d = the distance fro the sign to home
d - 16 > 25
solving that open sentence we get
d > 41
Since the distance needs to be greater than 41, the next whole number is 42 so the answer is
The minimum distance she will travel is 42 miles.

To translate phrases such as "is at least" and "is no less than"  you will need   ≥ 
...think I want at least $200 when going to Disneyland. I obviously want more.. but I will be happy with $200.

To translate phrases such as "is at most" and "is no more than"  you will need   ≤
...think I want at most 7 problems of homework. I really want fewer than 7 but I'll be okay with 7.