Writing Inequalities
Solving Inequalities
Is it a solution?
Graphing Inequalities
Multi-Step Inequalities
100
A number x is greater than 3.
x > 3
100
1 <= x - 8
9 <= x
100
Is 2 a solution for the inequality below?
r + 4 > 8
No
100
Graph y > 2
Will look
100
4 - 2m > 7 - 3m
m > 3
200
Three times a number w is less than 18.
3w < 18
200
Solve.
-8 <= 8 + y
-16 <= y
200
Is 5 a solution to the following inequality?
-10 >= -2t
Yes
200
graph y >= 4
Will look
200
3w - 5 > 2w + w -7
All Real Numbers or Infinite Solutions
300
Thirteen is at least the difference of a number v and 2.
13 >= v - 2
300
-9y > 9
y < -1
300
Is 20 a solution to the following inequality?
-8 < -1/4m
Yes
300
Graph w > 8 or w <= -3
Will look
300
6(k + 3) < 3(2k + 6)
No Solution
400
D
400
-6 > -2/3y
9 < y
400
Is 8 a solution to the following inequality?
18 <= 3(b - 4)
No
400
Graph 2 > c >= 7
Will Look
400
v + 8 < 3 or -8v < -40
v < -5 or v > 5
500
5 < x < 9
500
You are riding a train. Your carry-on bag can weigh no more than 50 pounds. Your bag weighs 38 pounds. Write and solve an inequality that represents how much weight you can add to your bag.
b <= 12
500
Is 1 a solution to the following inequality?
8 + 10f > 14 - 2f
Yes
500
Graph the solution
p/ -8 + 9 > 13
p < -32
500
15(1/3b + 3) <= 6(b + 9)
-9 <= b
600
On a fishing trip, you catch two fish. The first fish weighed 1.2 pounds. The second fish weighs at least 0.5 pounds more than the first. Write an inequality that represents the possible weights of the 2nd fish.
w >= 1.7
600
You have $12 to buy buy five goldfish for your new tank. Write and solve an inequality that represents the prices you can pay per fish.
5g <= 12
g <= 2.4
600
Is 6 a solution to the following inequality?
8g - 5g - 4 <= -3 + 3g
Yes
600
The sum of the lengths of two sides of any triangle is greater than the third side. A triangle has a side length of 5 cm and 7 cm. Write an inequality to represent the possible length for the third side.
2 < x < 12
600
-12 < 1/2(4x + 16) < 18
-10 < x < 5