Name: _____________________________ Date: _____________
Writing and Graphing Inequalities- NOTES

An _______________________ is a mathematical sentence that compares expressions.
INEQUALITY SYMBOLS
<
>
≤
is less
than
is greater
than
is less than OR
equal to
is greater
than OR
equal to
is fewer
than
is more
than
is at most
is at least
Symbols
Key Phrases
≥
is no more than is no less than

Writing an Inequality
Examples: Write this word sentence as an inequality.
A number x plus 5 is greater than or equal to -7.9.
A number y is at most -10.
Twice a number b is more than -

5
2
Checking Solutions
A ________________ of an inequality is a value that makes the inequality true.
The set of all solutions of an inequality is called the ____________________ _________.
Examples: Tell whether -5 is a solution of each inequality.
x + 12 > 7

1 – 2p ≤ -9
n ÷ 2.5 ≥ -3
Graphing an Inequality
The graph of an inequality shows all the solutions of the inequality on a number line. A
______________ ____________ is used when a number is not a solution. A _____________
_____________ is used when a number is a solution. An _____________ to the left or right
shows that the graph continues in that direction.
Examples: Graph the inequalities on a number line.
x<1

z≥4
s ≤ 1.4
-
1
<t
2
Real-life Application
Each day at lunchtime, at least 53 people buy food from a food truck. Write an inequality that
represents this situation.