6th Grade Math Textbook, Fundamentals

Remember:

When graphing an inequality, use a dot to show

that a number isin the solution set. Use a circle

to show that a number is notin the solution set.

Lesson 14-9 for exercise sets. &KDSWHU 

3UDFWLFH   $FWLYLWLHV

Solve the inequality and graph the solution. Check to justify your answer.

1.r17.4 20 2. 8  2 tt 3.x99.9 151.2 4.y 11 

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5.Discuss and Write For e , is e0.7 a solution? Is e a solution?

What about e0.67? In your own words, describe the meaning of e.

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5

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5

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As with integers, you can graph the solution set of an

inequality with rational numbers on a real-number line.

Solve: x 4 Graph:

x  4  Add to both sides.

x 4  Rename using the LCD.

x 5 Simplify.

According to the graph, 5 is nota solution,

and 5 isa solution.

Check:Try x5.

5  4 Substitute 5 for x. Simplify.

4 4 False

So the solution of x4 is x 5.

Sometimes when solving an inequality, you may need to

combine like terms.

Solve: 8.1 c 2 c10.2 Graph:

8.1 ( 1 2)c10.2

8.1 c10.2 Simplify.

8.1 8.1c10.2 8.1 Subtract 8.1 from both sides.

c2.1

Check:Try c2.

8.1  2 2(2) 10.2 Substitute 2 for c.

8.1  2  4 10.2 Simplify.

10.1 10.2 Tr u e

So the solution set is all numbers less than 2.1.

Use the Distributive

Property to combine

like terms.

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Try x5.

5  4 Substitute 5 for x.

5  4

4 4 Simplify.

4 4 Tr u e

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Try c2.1

8.1 2.12(2.1) 10.2 Substitute 2.1 for c.

8.1 2.14.2 10.2 Simplify.

10.2 10.2 False

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