Writing and Graphing Inequalities
Simple Inequalities
Multi-Step Inequalities
Inequalities with Special Solutions
Word Problems
Compound Inequalities
100
a number is no more than 32
What is n ≤ 32?
100
3x + 2 < -4
What is x < -2?
100
x - 3(x+2) > 4
What is x < -5?
100
3x - 7 ≥ 17
What is x ≥ 8?
100
You have at most $12 to spend on ride tickets at the fair. Each ticket costs $1.25. Write and solve an inequality that represents the number of tickets you can buy.
Remember your let statement!
What is, you can buy at most 9 tickets?
Let t = tickets bought
1.25t ≤ 12
100
Two inequalities (or more) joined together with "and" or "or"
What are compound inequalities?
200
a number is less than -17
What is n < -17?
200
2x + 1 ≤ 7
What is x ≤ 3?
200
2x - 1 ≤ 5x + 20
What is x ≥ -7?
200
8x - 3 > 4(2x + 3)
What is no solution?
200
The dance committee of Pine Bluff Middle School earns $72 from a bake sale and will earn $4 for each ticket they sell to the Spring Fling dance. The dance will cost $400.
Write an inequality to determine the number of tickets the committee must sell to have money left over after they pay for this years dance. Remember your let statement!
What is, the committee must sell 82 tickets to have money left over after they pay for the dance?
Let t = tickets sold
72 + 4t > 400
200
-3(2x + 1) < -15 OR 1 - x ≥ 5
Remember your graph!
What is x ≤ -4 OR x > 2?
300
Write the following inequality:
What is x ≤ 3?
300
x/6 + 2 > -1
What is x > -18?
300
-8(x-1) - x ≤ - 28
What is x ≥ 4?
300
2(x - 5) < 2x + 5
What is all real numbers?
300
Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each day, she finds 12 more seashells on the beach.
Write an inequality to determine the number of days it will take Katie to collect over 100 seashells. Remember your let statement!
What is, it will take Katie 6 days to collect over 100 seashells?
Let d = number of days
34 + 12d > 100
300
-16 ≤ -3x - 4 ≤ 2
Remember your graph!
What is -2 ≤ x ≤ 4?
400
The sum of twice a number and 15 is at least 42
What is 2n + 15 ≥ 42?
400
(x+11)/-2 < -2
What is x > -7?
400
3 -(2x - 7) ≤ 34 - 6x
What is x ≤ 6?
400
2(x - 5) < 2x + 5
What is all real numbers?
400
A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10 to spend on the cab ride, how far could she travel? (round to the nearest tenth mile)
Write an inequality to determine how far Erica can travel. Remember your let statement!
What is, Erica can travel no more than 12.7 miles?
Let m = miles
1.75 + .65m ≤ 10
400
2x + 9 > 17 OR 5x + 10 < 10
Don't forget your graph!
What is x < 0 OR x > 4?
500
Write the following inequality:
What is x > 2?
500
4 - 1/3x > 11
What is x < -21?
500
-(3x + 3) - 2x > -4(x - 2) - 2
What is x < -9?
500
6(2x - 1) ≥ 3(4x +1)
What is no solution?
500
Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make a profit of no less than $5,225, how many bags of dog food does it need to sell?
Write an inequality to determine the number of bags of dog food Pet Supplies must sell. Remember your let statement!
What is, Pet Supplies will have to sell at least 950 bags of natural dog food to make a profit?
Let x = number of bags
5.5x ≥ 5,225
500
-1 < 2/3x + 1 ≤ 5
Don't forget your graph!
What is -3 < x ≤ 6?
