The values of $x$ that satisfy the inequalities defining the unshaded region are the integers between $-1$ and $2$, inclusive.

So, $x$ can take the following values:

$x = -1, 0, 1, 2$

Would you like to explore anything else about this problem?

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Related Questions:

1. What are the possible values of $y$ given the values of $x$?
2. How would the possible values of $x$ change if the unshaded region were extended one unit to the right?
3. What happens to the set of $x$ values if the entire region is shifted two units to the left?
4. How many integer values can $x$ take if the unshaded region is reduced by one unit in the $x$-direction?
5. What if the region were shifted up or down by one unit? How would the inequalities change?
6. Can you describe the set of possible $x$ values if the region was a circle instead of a rectangle?
7. What are the possible values of $x$ if $x$ were restricted to positive integers only?
8. How would the values of $x$ change if the unshaded region excluded its boundaries?

Tip:

Always check both the minimum and maximum values of the variable when dealing with inequalities, especially when they define a region on a graph.