Express c in Inequalities: -9 < c < -1 on Number Line

c c is a negative number greater than -9 and less than -1 .

Write this as an expression using the number line below as an aid.

-10-10-10-9-9-9-8-8-8-7-7-7-6-6-6-5-5-5-2-2-2-3-3-3-4-4-4-1-1-1000

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1

Understand the problem

c c is a negative number greater than -9 and less than -1 .

Write this as an expression using the number line below as an aid.

-10-10-10-9-9-9-8-8-8-7-7-7-6-6-6-5-5-5-2-2-2-3-3-3-4-4-4-1-1-1000

2

Step-by-step solution

First, we'll mark the expression C<0 C < 0 on the number line:

-10-10-10-9-9-9-8-8-8-7-7-7-6-6-6-5-5-5-2-2-2-3-3-3-4-4-4-1-1-1000

Then we'll mark C>9 C > -9 :

-10-10-10-9-9-9-8-8-8-7-7-7-6-6-6-5-5-5-2-2-2-3-3-3-4-4-4-1-1-1000

Finally, we'll mark C<1 C < -1 :

-10-10-10-9-9-9-8-8-8-7-7-7-6-6-6-5-5-5-2-2-2-3-3-3-4-4-4-1-1-1000

Now we can see that the section marked in orange overlaps the expression:

-10-10-10-9-9-9-8-8-8-7-7-7-6-6-6-5-5-5-2-2-2-3-3-3-4-4-4-1-1-1000

The numbers that create the overlapping section are those from -9 to -1 and represent the expression in question:

9<c<1 -9 < c < -1

3

Final Answer

9<c<1 -9 < c < -1

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All negative numbers appear on the number line to the left of the number 0.

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