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
5n - 1 < 9
n < 2
Graph x ≥ -7
solid dot at -7 going right
n + 5 ≤ 18, if n=12
17 ≤ 18 True
The goal of solving inequalities is to ___________ the variable.
Isolate
x - 16 ≤ -5
x ≤ 11
3n + 16 ≥ 4
n ≥ -4
Graph -40 < p
open circle at -40 going right
20 < b + 6, if b=14
20 < 20 False
True or False. Inequalities have 2 possible solutions.
False. Inequalities can have an infinite number of solutions.
-5n < 25
n > -5
2m - 9 < 15
m < 12
Graph 8.5 > x
Open circle at 8.5 going left
-5x > -20 if x=3
-15 > -20 True
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
-5x - 7 ≥ -12
x ≤ 1
Graph x > 1/2
open circle at 1/2 going right
-7x - 6 > 15, if x=-2
8 > 15 False
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.
Write and solve an inequality. Max can play on Nintendo Switch for a maximum of 75 minutes. If he has played 20 minutes so far, what inequality states how much longer he can play.
20 + x ≤ 75
x ≤ 55
Max can play 55 more minutes
-4(x - 3) - 5 > 31
x < -6
Graph -x ≤ 10
solid dot at -10 headed right
2/3x + 9 > 12, if x=6
13 > 12 true