Answer:
The quadrants II and IV in which (x,y) are located so that the condition xy < 0 is satisfied.
What is the quadrant?
A quadrant is defined as an area contained by the x and y axes, which there are four quadrants in a graph.
For Quadrant I : the value of x and y both are positive ( +,+ )
For Quadrant II : the value of x is negative and y is positive ( -,+ )
For Quadrant III : the value of x is negative and y is negative ( -, - )
For Quadrant IV : the value of x is positive and y is negative ( +, - )
To determine the quadrant(s) in which (x,y) is located so that the condition is satisfied.
⇒ xy < 0
When the value of x is negative and y is positive in Quadrant II
So that the condition xy < 0 is satisfied
When the value of x is positive and y is negative in Quadrant IV
So that the condition xy < 0 is satisfied
Hence, the quadrants II and IV in which (x,y) are located so that the condition xy < 0 is satisfied.