Vocabulary
Name the four possible signs used in an inequality.
Greater than
Less Than
Greater than or equal to
Less than or equal to
-8 + x > 10
x > 18
Graph x ≥ -7
solid dot at -7 going right
n + 5 ≤ 18, if n=12
17 ≤ 18 True
What is the mode?
2, 5, 2, 6, 7, 2, 9
2
The goal of solving inequalities is to ___________ the variable.
Isolate
x - 16 ≤ -5
x ≤ 11
Graph -40 < p
open circle at -40 going right
20 < b + 6, if b=14
20 < 20 False
What is the median?
2, 8, 9, 2, 5, 15, 1
5
True or False. Inequalities have 2 possible solutions.
False. Inequalities can have an infinite number of solutions.
-5n < 25
n > -5
Graph 8.5 > x
Open circle at 8.5 going left
-5x > -20 if x=3
-15 > -20 True
What is the range?
10, 5, 6, 3, 13, 1, 11, 12
13 - 1 = 12
What happens in an inequality when you multiply or divide by a negative number?
The inequality sign must be flipped.
n/-3 < 11
n > -33
Graph x > 1/2
open circle at 1/2 going right
-7x - 6 > 15, if x=-2
8 > 15 False
What is the mean?
1, 5, 7, 8, 4, 4, 6
5
Explain the steps to graphing the following:
x is greater than or equal to 1.5.
Number the number line by halves (0, 0.5, 1, 1.5, 2..) Place a solid dot at 1.5 and shade the number line to the right.
x/-5 > -13
x < 65
Graph -x ≤ 10
solid dot at -10 headed right
2/3x + 9 > 12, if x=6
13 > 12 true
What is the mean?
4, 7, 7, 5, 16, 14, 3, 8
8