Writing Algebraic Inequalities
One Step Inequalities
Inequalities x /
Two Step Inequalities
100

5 is not more than x

x > 5

100
x + 5 ≥ 10
x ≥ 5
100
12x > -60
x > -5
100
2y + 7 > 11
y > 2
200

Value of x is less than or equal to 10

x ≤ 10

200

y - 5 < 7

y < 12

200

(b/7) < 7

b < 49

200

7 ≥ 5x – 3

2 ≥ x

300

The di!erence between x and 4 is greater than 10

x – 4 > 10

300
y + 3 > 0
y > -3
300

16k ≥ 96

k ≥ 6

300

10 > 6 + (y/5)

20 > y

400

2 subtracted from x is at most 3

x – 2 ≤ 3

400

y + 5 > -23

y > -28

400

n/(3) ≥ 5

n ≥ 15

400
6 + y > 2y - 3
9 > y
500

Two-thirds of x plus 6 is greater than 5

2/3x + 6 > 5

500

b - 12 > -23

b > -11

500
4w ≤ 68
w ≤ 17
500

19 ≥ (x/90)- 21

3600 ≥ x