Graphing and Writing Inequalities
Word problems
One-Step Inequalities
Two-Step Inequalities
Random Inequalities
100
When graphing inequalities, which symbols have an OPEN circle?
< Less Than
> Greater Than
100
Harry wants to spend no more than $50 dollars.
x≤50
100
Solving the inequality.
3w > 18
What is:
w > 6
100
Solve the inequality.
4x + 3 < 7
What is:
x < 1
100
Solving Inequalities
Solve for x.
-2x + 5 < 13
x > -4
200
When graphing inequalities, which inequality symbols have a CLOSED circle?
≤ : Less Than or Equal to
≥ : Greater than or Equal to
200
A bag of dog food should last more than 6 weeks.
x>6
200
Solve the inequality.
y - 11 < 50
What is:
y < 61
200
Solve the inequality.
11 > 2y - 5
What is:
8 > y
200
x/-30 ≤ 3
x ≥ -90
300
Which direction do we shade for x < -3 ?
What is
Left
300
Each cup of coffee costs $4. You have $25 dollars to spend, what is the most amount of coffee you can buy?
4x<25
The most coffee you can buy is 6 cups. 4(6) = 24.
300
Solve the inequality.
z/3>7
z > 21
300
Solve the inequality.
x/8-4<2.7
What is:
x < 53.6
300
Solve the inequality.
5x - 16 ≥ 34
x ≥ 10
400
Is the following inequality graphed correctly? Explain.
x < 6
No, the graph shows x > -6
400
Everyday you get a 25 cent allowance. How long will it take you to save up at least $6?
0.25x >= 6
x >= 24
400
Solve the inequality.
-45.3 > 6.2 + k
-51.5 > k
400
Solve the inequality.
v/-3+14<30
v > -48
400
Solve the inequality
-2x - 4 < 88
x > -46
500
What are these symbols called:
< , ≤ , > , ≥?
(The answers are not less then, greater then, etc.)
What is
Inequalities
500
Each hour you work, you get $5. You have already have $25 dollars in your pocket. You want your account to have at least $75 dollars in it. How many hours do you need to work in order for that to happen?
5x+25≥75
5x+25-25≥75-25
5x≥50
x≥10
500
Solve the inequality.
49.6 < -8h
What is:
-6.2 > h
500
Solve the inequality.
25 > 4 - 3m
-7 < m
500
Solve the Inequality
-2(x - 5) < 16
x > -3