The set that satisfies an inverse variation is Set J that is (2, 6) and (-3, -4).
To determine which set of ordered pairs satisfies an inverse variation, remember that in inverse variation, the product of the two variables remains constant. Here's how we can analyze each set:
F. (6, 3) and (8, 4):
6 * 3 = 18
8 * 4 = 32
The product is not constant, so this set does not satisfy inverse variation.
G. (2, -3) and (4, 5):
2 * (-3) = -6
4 * 5 = 20
The product is not constant, so this set does not satisfy inverse variation.
H. (4,-2) and (-5, 10):
4 * (-2) = -8
-5 * 10 = -50
The product is not constant, so this set does not satisfy inverse variation.
J. (2, 6) and (-3, -4):
2 * 6 = 12
-3 * -4 = 12
The product is constant (12), so this set satisfies inverse variation!
Therefore, only J. (2, 6) and (-3, -4) satisfies an inverse variation.