An inequality that is not satisfied by this table of values is: C. y < -2x - 4.
In order to determine which ordered pairs are valid and true solutions based on the given linear inequalities and table of values, we would have to test the given ordered pairs by substituting their values into the given inequality as follows.
For ordered pair (-2, 1), we have:
y < 2x + 6
1 < 2(-2) + 6
1 < 2 (True)
y > x - 3
1 > -2 - 3
1 > -5 (True)
y < -2x - 4
1 < -2(-2) - 4
1 < 4 - 4
1 < 0 (False)