Question

Graph the compound inequality.
x > 9 and x < 10
Plot the endpoints

Answer 1

The compound inequality x > 9 and x < 10 is equivalent to 9 < x < 10, i.e. the open interval (9, 10).

To graph:
- Put open circles at 9 and 10 (because the inequalities are strict, not ≤).
- Shade the region between them.

ASCII number line:

... 8 9 10 11 ...
o----o
(9) (10)

Interval notation: (9, 10)
Set-builder: { x | 9 < x < 10 }