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May 22nd

May 22nd

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

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.

 GLOSSARY graph of an inequality in one variable (page 356) The set of points that represent all solutions of the inequality. compound inequality (page 380) Two separate inequalities joined by and or or. Graphing Inequalities with One Variable Graphing an inequality lets you see at a glance whether a given value is a solution of the inequality. solution of an inequality in two variables (page 405) An ordered pair (x, y) that produces a true statement when the values of x and y are substituted into the inequality.half-plane (page 405) In a coordinate plane , the region on either side of a boundary line. The Graph of an Inequality in Two Variables The graph of x 1 y ≥ 4 is shown.
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