The Number Line with Signed Numbers: Place on the axis

Examples with solutions for The Number Line with Signed Numbers: Place on the axis

Select a compatible expression to show that a is greater than 3 but smaller than 7:

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:

$3 < a < 7$

$3 < a < 7$

Select an expression which shows that b is a negative number greater than -6.

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:

$0 > b > -6$

$0 > b > -6$

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

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

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

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

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

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

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

$-9 < c < -1$

$-9 < c < -1$

$a$ is a positive number less than 5.

Select the correct expression regarding the value of $a$ on the number line:

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

Now let's mark the expression $a > 0$ on the axis:

Then we can mark in orange the overlapping segment that represents the expression in question:

$0 < a < 5$

$0 < a < 5$