Question

What does the graph of 4 < n + 6 < 9 look like?

Answer 1

When an operation is performed in one side of an inequality, that same operation must be done with the other sides. The first step is to subtract 6 from each side.

4 - 6 < n +6 - 6 < 9 - 6

The simplified result is:

-2 <n < 3

Utilize a number line for graphing. Create open circles for -2 and 3 since these are the endpoints of the graph. Lastly, draw a line from -2 to 3.

Answer 2

Before one can know how the graph looks like, one needs to evaluate the inequality first.

The inequality 4 < n +6 < 9 can be simplified by subtracting each the right hand, the left hand and the center by 6.

4-6 < n +6 -6 < 9- 6

-2 < n < 3

Therefore the line graph looks has open circles on -2 and 3 and a shaded line between them.