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Explain the difference between an open circle and a closed circle on an inequality graph.
Open means not equal to
Closed means can be equal to
Solve the equation.
6(x-1) ≤ 12
x ≤ 3
Solve the inequalities. 15 ≥ 3x - 9
8≥x
(-2x + 9)/-10 ≤ -1
x ≤ -1/2
Jose’ needs $1,500 for a vacation. He
makes $18 per hour at his job and
already has $840 saved. How many
hours does he need to work to be
able to afford the vacation? Write and solve
1500 ≤ 18h + 840
36 2/3 ≤ h
He needs to work 37 hours or more!
Kai has $40 to spend on groceries. He
buys a ham for $14 and then wants to
pick up apples for $2.50 per pound.
How many pounds of apples can he
buy and stay within budget? Write and solve.
40 ≥ 14 + 2.5a
10.4 ≥ a
10 pounds or less!
Solve the equations.
5 - 2(x-2) > 19
x < -5
5 - m + 8 ≥ 14
m ≤ -1
Megan has $45 on a coffee gift card.
She buys a mug for $9 and plans to
spend the rest on $4 cups of coffee.
How many cups of coffee can she
buy? Write and solve.
45 ≥ 9 + 4c
9 ≥ c
9 cups of coffee or less
- 11 ≤ -3(2x/3 + 5)
-2 ≥ x
Annie has $1,400 in the bank. She takes
out $700 for a new computer and then
withdraws $120 each week for
groceries. How many weeks can she
withdraw grocery money? Write and solve!
700 + 120w ≤ 1400
w ≤ 5 5/6 weeks
5 weeks or less!
Solve the equations. -5(8 - 3n) ≥ 20
n ≥ 4
Solve the inequalities. 33 - 6a < -9
a > 7
-2r - 2 ≤ 4
r ≥ -3
A salesman makes $35,000 per year
plus $1,200 for each car he sells. How
many cars must he sell if he wants to
make at least $70,000 this year? Write and Solve
35000 + 1200c ≥ 70000
c ≥ 29 1/6
He must sell 30 or more cars!
-9x - (x + 7) ≤ 33
x ≥ -4
72 > 10t - 4(2t+5)
46 > t
d/-11 + 61 ≤ 6
d ≥ 55
Mason and his family are planning a vacation. They have a total budget of $4,500. They are budgeting $500 for all the food and $150 per night for a room. How many nights can they stay if they are going to have to pay $2700 for all the plane tickets and stay within budget?
4500 - 500 - 150n ≥ 2700
2700 + 500 + 150n ≤ 4500
n ≤ 8 2/3
They can stay 8 nights or less and stay on budget!
-4 < 4(-3x + 1) + 8
4/3 > x
Megan has $12,350 in her bank account. She must have at least $500 in her bank account of the bank will close her account. If her account drops below $500 then the bank will send her a warning message before it closes. If she has to withdraw $800 per month for rent, how many months can she pay rent before the bank will send her the warning message? Write and solve.
12350 - 800w ≥ 500
w ≤ 14 13/16
She can pay rent for 14 months!
What is the solution of the equation:
-3(2x-1) ≤ 21
x ≥ -3
Solve the inequality. -18 ≤ 3p - 48
10 ≤ p
z/-4 + 3 < 15?
z > -48
You are descending on an elevator into a mine. If the elevator starts at an elevation of 400 ft and it descends at a rate of 5 ft per second, after how many seconds will the elevator be deeper than 200 ft below ground?
400 - 5s < -200
s > 120
It will take longer than 120 seconds!