Chapter 3 Inequalities

Symbols

100

What is the symbol for greater than?

>

200

What is the symbol for "less than"

<

300

What is the symbol for "less than or equal to?"

≤

400

What is the symbol for "at most"?

≥

500

What is the symbol for "not equal to"?

=

One-Step Inequalities

100

x + 7 < 8

x < 1

200

b - 9 ≥ -20

b ≥ -11

300

4x > 24

x > 6

400

m/3 ≤ 12

m ≤ 36

500

-2x < 18

x > -9

Multi-Step Inequalities

100

3x - 1 ≥ 14

x ≥ 5

200

x/2 - 4 < 10

x < 28

300

-5x + 3 > -22

x < 5

400

-6x-3>-15

What is x<2

500

9 < 2+(-x)

What is -7>x

Solve and Graph

100

x > 9

open circle at 9, pointing right

200

x ≤ 17

closed circle at 17, pointing left

300

x -12 < -4

x < 8, closed circle at 8, pointing left

400

-8x > 32

x < -4, open circle at -4, pointing left

500

1/2x ≥ 4

x ≥ 8, closed circle pointing right

Phrases

100

The product of t and 6 is greater than 12.

6t>12

200

3 less than g is less than or equal to 17

g-3≤ 17

300

40 x ≥ 5

The product of 40 and x is greater than or equal to 5

400

x + 22 > k

The sum of x and 22 is greater than k

500

You earn $250 per month from your part time  job. You are in a kayaking club that costs you $20 a month, and you save at least $100 each month. Write and solve an inequality to find the possible amounts you have left to spend each month.

d ≤ 130