The coordinates of an ordered pair have opposite signs. In which quadrant(s) must the ordered pair lie? Explain.
If the coordinates of an ordered pair have opposite signs, then one coordinate is positive and the other coordinate is negative.
In the first quadrant, both coordinates are positive.
In the second quadrant, the x-coordinate is negative and the y-coordinate is positive.
In the third quadrant, both coordinates are negative.
In the fourth quadrant, the x-coordinate is positive and the y-coordinate is negative.
Therefore, the ordered pair with opposite signs can only lie in the second or fourth quadrant.