Vocabulary
Name the four possible signs used in an inequality.
less than, greater than, less than or equal to, greater that or equal to
Solve: 2x-3 > 13
x > 8
Graph: x > 10
see board
1/2 + 5/6
8/6= 1 2/6= 1 1/3
The goal of solving inequalities is to ??? the variable.
isolate
Solve: 10b plus 9 is less than or equal to 99
b is less than or equal to 9
Graph: b < -36
see board
-39 - 96 = ?
-135
True or false: Inequalities have 2 solutions.
False: They have infinitely many solutions/a solution set.
Solve: -8 - 7m < 55
m > -9
Solve and graph: 76 > -6m + 4
12 < m
m > 12
see board for graph
Evaluate: -12(x + 5) + 8
-12x - 52
What happens in an inequality when you multiply or divide by a negative number?
The symbol will flip.
Solve: -6(k - 4) > 48
k < -4
Solve and graph: 26 - 2x > 22
x < 2
see board for graph
2.94 x 3.8 = ??
11.172
Explain the steps to graphing the following:
x is greater than or equal to 18
1. draw and label the number line
2. draw a closed circle over 18
3. draw an arrow pointing to the right of the closed circle
A bus charges a flat rate of $2.50 plus an additional $0.50 per mile driven. If Caylee has $18.50 in her pocket that she can spend at the most. How far can she travel?
2.50 + 0.50x is less than or equal to 18.50
x is less than or equal to 32
Solve and graph: Kaleb practices basketball for at least 15 hours per week. During each session, he practices for 1/2 of an hour. If Kaleb has already practiced for 5 hours this week, how many more sessions remain for him to meet or exceed his goal?
1/2x + 5 > 15
x > 20 sessions
see board for graph
Solve for b:
6(2b - 3) = 66
b = 7