The Number Line with Signed Numbers: Place on the axis

Express a number that is greater than 3 but less than 7 in terms of a.

First, we'll mark on the axis the expression a > 3

Then we'll mark on the axis the expression a < 7

We'll mark in orange the segment representing the requested expression:

3 < a < 7

3 < a < 7

A negative number is greater than (-6).

Express the number in terms of b.

First, we'll mark on the axis the expression b < 0

Then we'll mark on the axis the expression b > -6

We'll mark in orange the segment representing the requested expression:

0 > b > -6

0 > b > -6

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.

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

Then we'll mark C > -9

And finally C < -1

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

The numbers that create the overlapping section start from -9 to -1 and represent the requested expression:

-9 < c < -1

-9 < c < -1

a is a positive number less than 5.

Where is a on the number line?

First, let's mark on the axis the expression a < 5

Now let's mark on the axis the expression

a > 0

Let's mark in orange the overlapping segment that represents the requested expression:

0 < a < 5

0 < a < 5