Name ______________________________ Date ____________
The Basics - 7
Today, you will be able to:


INEQUALITY SYMBOLS:
>
³
<
£
¹
1.
Name an integer value of x that satisfies the inequality x > 5 .
2.
Name an integer value of x that satisfies the inequality -6 ³ x .
3.
Name an integer value of x that satisfies the inequality x ³ -1 .
4.
Name an integer value of x that satisfies the inequality x < 4 .
5.
What is the smallest integer that satisfies the inequality x >12 ?
6.
What is the smallest integer that satisfies the inequality x ³12 ?
7.
What is the largest integer that satisfies the inequality x < 3 ?
COMPOUND INEQUALITY:
You can split the compound inequality 4 < x <10 into two inequalities:
______________________ and ____________________
Compound inequalities will always include the inequality symbols
_________ or _________.
SET BUILDER NOTATION:
8.
What integer values of x are being represented by {x 3 < x £ 7} ?
9.
What integer values of x are being represented by { x 2 £ x £ 6} ?
10.
What integer values of x are being represented by { x -5 £ x < -1} ?
11.
What integer values of x are being represented by { x 9 < x <14} ?
12.
What integer values of x are being represented by { x -11< x £ -8} ?
INTERVAL NOTATION:
( and ) mean
[ and ] mean
13.
What is 2 £ x < 6 written in interval notation?
14.
What is 1< x < 5 written in interval notation?
15.
What is 8 < x £12 written in interval notation?
16.
What is -3 £ x <1 written in interval notation?
17.
What is 0 £ x £ 4 written in interval notation?
18.
What is x ³1 written in interval notation?
19.
What is x > 7 written in interval notation?
20.
Write the following inequality in interval notation: x <1
21.
Write in interval notation: “all numbers from 0 to 8, inclusive”