Inequalities

One Step Adding/Subtracting

100

x - 9 ≥ 10

x ≥ 19

200

b + 9 > 10

b > 1

300

2.2 + x > 12.5

x > 10.3

400

4.5 + x < 8

x < 3.5

500

9 < x + 7.21

x > 1.79   or   1.79 < x

One Step Multiplying/Dividing

100

2x ≥  4

x ≥ 2

200

4x < 20

x < 5

300

3x > 12

x > 4

400

n + 18 ≥ 30

n ≥ 12

500

x/-2 > 3

x < -6

Inequality Vocab

100

The symbol you use for words like: "fewer", "smaller", or "less than"

<

200

The symbol you use for the words: "at most", or "no more than"

≤

300

Draw all four inequality symbols and write their names next to them

< - less than

> - greater than

≤ - less than or equal to

≥ - greater than or equal to

400

What is the difference between "less than" and "less than or equal to"

a line under the symbol

a closed dot vs an open dot

and the number is included in the solution set vs not

500

List all the differences in what these two graphs would look like:

x > 13 and y ≤ 9

open circle vs closed circle

shaded left vs shaded right

does not include negative numbers vs includes negative numbers

Graphing

100

Describe the graph for: x > 5

Open Circle at 5, shaded to the right

200

Describe the graph for: n ≤ -11

Closed circle at -11, shaded to the left

300

Describe the graph for: x is greater than or equal to -9

closed circle at -9, shaded top the right

400

Describe the graph for: x/3 < -3

Open circle at -9, shaded to the left

500

Describe the graph for: 10 ≤ -2x

closed circle at -5, shaded to the left

Multi-step Solving

100

2x +3  > 15

x > 6

200

3 + 4x < 19

x < 4

300

x/2 - 4 ≤ 3

x ≤14

400

-9 + 9x  < 0 

x < 1

500

3(2m + 2) ≥  6

m ≥ 0