Strategies for Reading Mathematics

Strategy: Reading Inequalities
Equations are easy to read. They have a simple meaning —this is equal to that. Inequalities may be
more difficult to read because inequality symbols look similar but have different meanings . The
graphs be low show the different solutions that result from using other inequality symbols in the
ex pression x + 3 > - 5.

	x is greater than - 8
	x is greater than or equal to - 8
	x is less than - 8
	x is less than or equal to - 8
STUDY TIP Reread Each Inequality Mentally put on the brakes if you see an inequality sign . Stop and think about the meaning of the symbol. Then reread the whole inequality, substituting the word form of the symbol as you read	STUDY TIP Take Notes If inequality symbols confuse you, then write each symbol with its meaning on the inside cover of your notebook for quick reference. Sketch a graph if that will help you remember.

Questions
1. Write the word form of each inequality.

a. x < 2y
b. x ≥ 9
c. 2x > 24
d. x - 8 ≤ 21

2. When you look at a graph of the solution of an inequality, what does a solid dot on the number
line mean ? What does an open dot on the number line mean?

3. Tell whether - 2 is a solution of the inequality. Explain how you decided.

a. x > - 4
b. x + 4 ≤ 2
c. x - 4 < 2
d. x + 3 ≥ 0

4. What strategy do you use to help you remember the meaning of an inequality symbol when
you are reading?

Visual Glossary
The Now box on page 355 lists the key vocabulary introduced in Chapter 6. The key vocabulary list
at the beginning of each lesson may include prior key vocabulary with page references. Also use
the Skills Review Handbook to review key vocabulary from prior courses. Use the visual glossary
below to help you understand some of the key vocabulary used in Chapter 6. You may want to copy
these diagrams into your notebook and refer to them as you complete the chapter.