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

Question

The expression c is a negative number greater than (-9) and less than (-1) . Write it in mathematical language and mark it on the number axis.

-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

Video Solution

Step-by-Step Solution

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

-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

-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

And finally 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 with the expressions we marked:

-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 start from -9 to -1 and represent the requested expression:

-9 < c < -1

Answer

-9 < c < -1