6th Grade Math Textbook, Fundamentals

Lesson 14-10 for exercise sets. &KDSWHU 

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

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45 2. 9  2 z( 1 z) 4 3.0.77k23.254 4.

5.Discuss and Write Describe how solving a multistep equation and solving

a multistep inequality are similar. How are the processes different?

Explain the reason for the differences.

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7 y

8

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Solve, graph, and check your solution

to the inequality  t 8.

Solve: t 

8 Graph:

 t( ) 8 ( )

t 20

According to the graph, 24 is not a solution, and  20 is a solution.

Check: Try t24. Tryt 20.

 t 

8  t 

8

 (24) 8 Substitute 24 for t.  (20) 8 Substitute 20 for t.

10 

8 False 8 

8 Tr u e

So the solution set is all numbers greater than or equal to 20.

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(^13125)
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125
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 24  23  22  21  20  19  18  17  16

When solving a multiplication or division inequality involving

rational numbers, you may need to combine like terms.

Solve: 130 2.5x6.5 0.75x

130 (2.5 0.75)x6.5 Apply the Commutative and Distributive Properties.

130 6.51.75x6.5 6.5 Simplify. Add 6.5 to both sides.



 78 x

Check: Try t78.

130 2.5(78) 6.5 0.75(78)

130 195 6.5 (58.5) Simplify.

130  130 False

So the solution set is all numbers greater than  78.

Divide both sides by 1.75 to isolatex,

and reverse the inequality symbol.

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1.75x

1.75

136.5

1.75

Substitute 78 for x.

Try t70.

130 2.5(70) 6.5 0.75(70)

130 175 6.5 (52.5) Simplify.

130  116 Tr u e

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Substitute 70 for x.

Divide both sides

by  , and

reverse the

inequality symbol.

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