Translations
Two-Step Inequalities
Multi-Step Inequalities
How to Graph the Solution
Write the Inequality
100

What is the symbol for more than?

>

100

3x - 7 < 8

x < 5

100

3x + 10 - 1 + 4x ≥ 14

x ≥ 

5/7

100

x > 9

Open circle at 9, arrow pointing right

100

Lisa is training for a marathon. She already ran 15 miles and has a goal of at least 35 miles. How many miles per day does she need to run for the next 4 days to reach her goal?

4m + 15 > 35

200
What is the symbol for "less than"
<
200

b/3 - 9 ≥ -20

b ≥ -33

200

1/2 (n - 2) < 10

x < 24

200

x ≤ 17

Closed circle at 17, arrow pointing left

200

Connor went to the carnival with $22.50.  He bought a hot dog and a drink for $3.75, and he wanted to spend the rest of his money on ride tickets which cost $1.25 each.   What is the maximum number of ride tickets that he can buy?

3.75 + 1.25r  ≤  22.50

300
What is the symbol for "no more than?"
300

4x + 8 > 24

x > 4

300

-5(x - 3) > -20

x < 7

300

x < -4

Open circle at - 4, arrow pointing left

300

How many t-shirts can Banning buy with at least $40 and a sales fee to $5, if each t-shirt costs $8.00?

8x + 5 ≥ 40

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

m/-3 + 12 ≤ -12

m ≥ 72

400

-2/3 (x - 3) > -15

 x < 25.5

400

-x < 4  

x > -4, open circle at -4, pointing right

400

On Friday Marissa had $22.50. Over the weekend she sold peperoni pizzas for $9 each. She now has more than $52.00. How many pizzas did she sell?

9x + 22.50 > $52

500
What is the symbol for "at least"?
500

-2x - 10 < 18

x > -14

500

9 < (2 - x) 3

-1>x

500

1/2x ≥ 4

x ≥ 8, closed circle pointing right

500

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?

4.5x ≤ 18