Symbols
Rules
One-step inequalities
Two-step inequalities
Two-step inequalities with negatives
100

The symbol for less than

<

100

Order to solve the inequality

SADMEP

100

x+3>5

x>2

100

3x+7>16

x>3

100

−2y−4<−10

y>3

200

The symbol for more than 

>
200

The first step you do when solving

Subtraction

200

x-8>85

x>93

200

10y-4<26

y<3

200

−3x+7≥13

x ≤−2

300

The symbol for less than or equal to

300

First step for solving

subtraction

300

9x>45

x>5

300

 25y−14<86

y<4

300

−3a+2≤−10

a≥4

400

The symbol for greater than or equal to

400

When you do one thing to one side

you do it to the other

400

x/7<49

x<343

400

15z+25>127.

z>6.8

400

3x−7≤5

x ≥−4/3

500

For x > 5, what does the symbol ">" represent in terms of the relationship between x and 5?

> represents x is greater than 5

500

The rule for multiplying or dividing both sides of an inequality by a negative number

flip the sign

500

57x>171

x>3

500

39a−22≤95

a≤3

500

−4y−9≤−2

y≥−7/4

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