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One & Two-Step Inequalities
Multi-Step Inequalities
Solve and Graph
Word Problems
100
What is the symbol for "no more than?"
≤
100

b + 9 ≥ -20

b ≥ -29

100

(x - 4)/2 < 10

x < 24

100
x ≤ 17
closed circle at 17, pointing left
100

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?

x - 5 ≤ 27

x ≤ 32

200
What is the symbol for "at most"?
≤
200
m/3 ≤ 12
m ≤ 36
200
9 < 2+(-x)
What is -7>x
200
x -12 < -4
x < 8, closed circle at 8, pointing left
200

How many t-shirts can Banning buy with at least $40 if each t-shirt costs $8.00?

8x ≥ 40

x ≥ 5

300
What is the symbol for "at least"?
≥
300
-2x < 18
x > -9
300

-3 - 6(4x +6) > -111

x<3

300
-8x > 32
x < -4, open circle at -4, pointing left
300

Last Friday Marissa had $22.50. Over the weekend she received some money for cleaning. She now has over $32.00. How much money did she get for cleaning?

x + 22.50 > 32

x > 9.50

400

The quotient of a number, x, and 5 is less than or equal to 16

x/5<= 16

400

5x + 3 > -22

x >-5

400

3(4n-3)>5+12n

no solution

400
1/2x ≥ 4
x ≥ 8, closed circle pointing right
400

Max's employer has at most $18.00 to spend on tape measures for his crew. How many can he buy with that amount if each tape measure costs $4.50 and there is a 2.50 shipping fee?

4.5x + 2.50 ≤ 20.50

x ≤ 4

500

The sum of twice a number, p, and 4 is greater than 22

2p+4>22

500
-6x-3>-15
What is x<2
500

-5n + 6 > -7(5n - 6) - 6n

n>1

500

4 > -2

Whole number line shaded in 

500

You want to run an average of at least 22 miles each week for 4 weeks to prepare for a marathon.  During the first three weeks of training you run 20 miles, 22 miles and 21 miles.  How many miles must you run in the 4th week to meet your goal. 

(20+22+21+x)/4 >=22

x>=25