To find an ordered pair that satisfies the given system of inequalities, we need to find a point that lies below the line y = -x - 3 and above the line y = 2x - 4.
One such point that satisfies both inequalities is (-1, 0).
Let's check if this point satisfies both inequalities:
For the first inequality, y < -x - 3:
0 < -(-1) - 3
0 < 1 - 3
0 < -2 (True)
For the second inequality, y > 2x - 4:
0 > 2(-1) - 4
0 > -2 - 4
0 > -6 (True)
Therefore, the ordered pair (-1, 0) satisfies the system of inequalities y < -x - 3 and y > 2x - 4.