6th Grade Math Textbook, Fundamentals

Lesson 3-5 for exercise sets. &KDSWHU 

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Solve and graph each inequality. Check your work to justify your answer.

1.  11 2.p (2) 

12 3. 25 

4.Discuss and Write Explain the difference between solving 6 and 6.

Solve each inequality to support your answer.

n

 5

x

 2

y

4

x

2

Solve: 4

(6)4 (6)

 24 r Simplify.

The solution set is all numbers that are less than or equal to 24.

Graph:

Check: According to the solution set, 24 is a solution and 18 is not.

4 Substitute 24 for r. 4 Substitute 18 for r.

4 

4 Tr u e 4 

3 False

So the dot on the number line is correct. So the direction of the ray is correct.

 30  29  28  27  26  25  24  23  22  21  20

r

 6

r

 6

 24

 6

 18

 6

??

Multiply both sides by 6 to isolate rand

reverse the inequality symbol.

1

After you solve an inequality, you can use a number line to graph

and check the solution set.

Solve: 4

(7) 4(7) Multiply both sides by 7 to isolate a.

a 28 Simplify.

Graph:

The solution set is all numbers that are greater than

or equal to 28.

Check: According to the solution set, both 28 and 35 are solutions.

28 ÷ 7 4 Substitute 28 for a. 35 ÷ 7 4 Substitute 35 for a.

4 4 Tr u e 5 4 Tr u e

So the dot on the number line is correct. So the direction of the ray is correct.

a

7

a

7

?

?

20 21 22 23 24 25 26 27 28 29 30

Think

All integers, fractions, and decimals

greater than or equal to 28 are solutions.

Think

All integers, fractions, and decimals less than or equal to 24 are solutions.