Question

Graph the compound inequality.
x ≥ -464 and x ≤ -460
Plot the endpoints

Answer 1

Solution:
- The compound inequality x ≥ -464 and x ≤ -460 means all x between -464 and -460, inclusive.
- Interval notation: [-464, -460]
- Set-builder: { x | -464 ≤ x ≤ -460 }

Graph instructions:
- Draw a horizontal number line.
- Put closed (filled) dots at -464 and -460 (because of ≥ and ≤).
- Shade the segment of the line between those two dots.

Approximate ASCII sketch:

... -468 -466 -464 -462 -460 -458 ...
| | | | |
. . ●──────● .
-464 -460

(● = closed dot; the line between the two ●s is shaded)