Algebra Chapter 3 Inequalities

Add and Subtract 1 Step

100

g - 5 ≥ 6

g ≥ 11

200

k + 2 ≤10

k ≤ 8

300

w + 3 ≥ 4

w ≥ 1

400

12 < p + 6

6 < p

500

5 - x ≤ 2

x ≤ -3

Multiply and Divide 1 Step

100

10 < 2t

5 < t

200

b/8 ≤ -2

b ≤ -16

300

-80 < 8c

-10 < c

400

-3 ≤ x/-5

15 ≤ x

500

1/3j ≤ 4

j ≤ 12

Distributive Property Inequalities

100

3(x + 2) < 12

x<2

200

2(x + 3) + 4 < 30

x<10

300

6(4x - 1) - 4 <566

x < 24

400

4(2x + 3) + 8 < 1(8x+4)

No Solution

500

6( 4x - 3) < 3(8x+9)

Infinitely Many Solutions

Variables on Both Sides

100

1 + 2m ≥ 8 + m

m ≥ 7

200

p - 1 > 13 + 3p

p < -7

300

-15 + 8x > 8x - 3x

x > 5

400

m + 16 > 8m + 2

m < 2

500

5x - 1 ≥ 13 - 2x

x ≥ 2

Graphing Inequalities

100

Open circle at 4 and arrow to the right

4 < x

200

Filled in circle at the 7 going to the left

7 ≥ x

300

Open circle at the 15 going to the right

15 < x

400

Filled in circle at the -6 going the the right

-6 ≤ x

500

7 ≥ x

Filled in circle at the 7 going to left