Algebra
Lesson 6-5
In this section you will learn how to solve open sentences by using absolute value it is so easy just try it and I guarantee you will understand. I hope you enjoy our section
a-4=7 a-4=-7
+4 +4 +4 +4
a=11 a=-3
The solution set is {-3,11}
On the graph, the points are not connected because they are isolated points.
4. Solve |6s - 9| < 3 and graph the solution set.
6s - 9< 3 6s - 9 > -3
+9 +9 +9 +9
6s < 12 6s > 6
6 6 6 6
s < 2 s > 1
5. Write and Solve an absolute value inequality using the following information:
Jenna and Maggie are competing in a watermelon seed spitting contest. They try to get their seed as close
to 36 inches as possible. If their seed is within 5 inches of the 36 inches, they can have another turn to
score more points. What is the range of inches which they can have another turn?
-Your equation will be |x-36| < 5
x-36 < 5 x-36 > -5
+36 +36 +36 +36
x < 41 x > 31
The range is 31 to 41 inches.
There are only three types of open sentences that can involve absolute value:
A A