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Writing Inequalities
Is the given value part of the solution set?
Solving Inequalities using Addition/Subtraction
Solving Inequalities using Multiplication/Division
Word problems with Inequalities
100
The phrase "is at most" is represented by this inequality symbol.
What is less than or equal to symbol
100
If a <= 0, if a = -5 is this a solution to this inequality?
Yes
100
g - 17 > = 17
g >= 34
100
m/8 < 4
m < 32
100
You are fishing and are allowed to catch at most 3 striped bass. Each striped bass must be no less than 18 inches long. Write an inequality to represent the number of striped bass you are allowed to catch.
b <= 3
200
The phrase "is at least" is represented by this inequality symbol.
What is the greater than or equal to symbol.
200
c +2.5 < 4.3 c = 1.8
No it is not a solution to the inequality
200
18 > 12 + x
x > 6
200
6x < 90
x < 15
200
Fifty people are seated in a movie theater. The maximum capacity of the theater is 425 people. Write an inequality to represent the number of additional people who can still be seated.
P <= 375
300
The phrase "is no more than" is represented by this inequality symbol.
What is the less than or equal to symbol?
300
y + 5 < 13; y = 17 Is this a solution to this inequality?
No
300
9 <= c + 1
8 < = c
300
8w <= 72
w <= 9
300
A bus ride costs $1.50. A 30 day bus pass costs $36. Write an inequality to represent the number of bus rides you would need to take for the bus pass to be a better deal.
1.50x > 36
400
The phrase "is no less than" is represented by this inequality symbol.
What is greater than or equal to symbol?
400
3z > 6 z = 3 Is this a solution to this inequality?
Yes
400
7.2 < x + 4.2
3 < x
400
5/8 x >= 30
x > 48
400
The high score for a video game is 36,480. Your current score is 34,280. Each dragonfly you catch is worth 1 point. You also get a 1000-point bonus for reaching 35,000 points. Write and solve an inequality to represent the number of dragonflies you must catch to earn a new high score.
34,280 + d + 1000 > 36,480 d > 1200 dragonflies
500
Write the phrase a number w minus 3 is no more than 10.
What is w - 3 <= 10
500
b/2 >= 6 b = 10 is this a solution to the inequality?
No
500
44 > 7 + s + 26
11 > s
500
3/4b > 15
b > 20
500
A ride at an amusement park holds a maximum of 12 people per ride. Write and solve an inequality to find the least number of rides needed for 15,000 people.
12x >= 15,000 x >= 1,250 At least 1,250 rides are needed.