<, >, ≥, or ≤
Open Point
< and >
Write an inequality to model the situation:
Your mom tells you that you can spend no more than $85 on a new pair of shoes.
x ≤85
Solve the inequality:
x-39> -2
x>37
What does a typical AND inequality look like when graphed?
2 points on a number line that connect
solve & graph:
|x|-9>7
x>16 or x<-16
Closed Point
≤ and ≥
You need at least a 75% on the final to pass the class.
x ≥ 75
Solve the inequality:
5 ≤(6+v)/10
v≥44
What does a typical OR inequality look like when graphed?
Two points on a number line with arrow point out/not connected
When the absolute value is isolated on one side and it is less than a negative number.
At Least
≥
Write a compound inequality to represent the situation:
To ride the new roller coaster there is a maximum height of 70 inches tall and a minimum height of 50 inchest tall.
50 ≤ x ≤ 70
Solve the inequality:
3x+x<-9-5x
x<-1
Solve & Graph:
k-4<4 or k/9>1
k<8 or k>9
When does an absolute value inequality have infinite solutions? Explain with an example.
When the absolute value is isolated on one side and it is greater than a negative number.
No Less Than
≥
Write an inequality to model the situation:
Jerry has $145 to spend. He needs to buy a winter jacket for $96 and wants to buy socks which a $6 per pair.
6x+96 ≤ 145
FREE POINTS!!!!!
FREE POINTS!!!!!
Solve & Graph:
5<x+8≤25
-3<x<17
Solve & Graph:
-5|m-3|+10≥-35
-6 ≤m ≤12
At Most
≤
Write an inequality to model the situation:
Ms. Logothetides can spend no more than an hour grading on Saturday. She can grade a test in 2.5 minutes.
2.5x ≤ 60
Solve the inequality:
-4(-x+7)<-14
x<3.5
Solve & Graph:
-5-9n<-10n+5 ≤-1-4n
1 ≤n<10
Solve & Graph:
6-2|9x+7|>28
NO SOLUTION