1. Inequalities
Solving inequalities are like solving equations. The one difference is a greater than or less than sign instead of an equal sign.

2. Inequalities Understanding the words and meanings.
Is less than or fewer than <
Is greater than or more than exceeds >
Is less than or equal to, is no more than, is at most <
Is greater than or equal to, is no less than, is at least >

3. Examples: 2 + x < 13 -2 -2 x < 11
x < 11
This means the value of x is 11 or any number less than 11.
x + 3 > 10
x > 7
This means the value of x is greater than 7.

4. - 6 > n – 5
- 1 > n
- 8 > y + 3
- 11 > y
x – 3 < 8
x < 11
y – 8 < 5
y < 13

5. y – 3 > 2
y > 5
When graphing an inequality, the open circle means it is NOT equal to 5 but is any number greater than 5.
y – 6 < 4
y < 10
When graphing an inequality, the closed circle means it is equal to 10 and any number less than 10.

6. Ticket Out the Door Equations: x + 4 = 12 y – 4 = -15 t – 8 = 22
Inequalities:
x + 8 > 3
y – 9 > 4
r – 7 < 12
p + 6 < -5