Symbols
One-Step Inequalities
Multi-Step Inequalities
Solve and Graph
Word Problems
100

What is the symbol for greater than?

>

100
x + 7 < 8
x < 1
100

3x - 1 ≥ 14

x ≥ 5

100
x > 9
open circle at 9, pointing right
100

Lisa is cooking muffins. The recipe calls for more than 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in? Write an inequality and solve. 


x + 2 > 7

x > 5

200
What is the symbol for "less than"
<
200
b - 9 ≥ -20
b ≥ -11
200
x/2 - 4 < 10
x < 28
200
x ≤ 17
closed circle at 17, pointing left
200

After paying $5.00 for a salad, Taylor has no more than $27.00 left. How much money did she have before buying the salad? Write an inequality and solve. 

x - 5 ≤ 27

x ≤ 32

300
What is the symbol for "no more than?"
≤
300
4x > 24
x > 6
300
-5x + 3 > -22
x < 5
300
x -12 < -4
x < 8, closed circle at 8, pointing left
300

How many t-shirts can Banning buy with at least $40 if each t-shirt costs $8.00? Write an inequality and solve. 

8x ≥ 40

x ≥ 5

400
What is the symbol for "at most"?
≤
400

m/-3 ≤ 12

m ≤ -36

400

-6x - 3 > -15

What is x<2

400
-8x > 32
x < -4, open circle at -4, pointing left
400

3 less than the product of 7 and a number is no more than 32. Write and solve an inequality. 

7x - 3 ≤ 32

x ≤ 5

500
What is the symbol for "at least"?
≥
500
-2x < 18
x > -9
500
9 < 2+(-x)
What is -7>x
500

1/2x + 6 ≥ 4

x ≥ -4, closed circle pointing right

500

Gene wants to ride his bike at least 40 miles today. The first hour was mostly downhill and he rode 13 miles. He has 3 more hours to ride. Write and solve an inequality to find how many miles per hour Gene needs to ride to meet his goal. 

3m + 13 ≥ 40

m ≥ 9

M
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