Final answer:
The minimum value of c=-2xy with the constraints x>-5 and x<4 is -8y.
Step-by-step explanation:
To find the minimum value of c=-2xy with the constraints x>-5 and x<4, we need to consider the range of x that satisfies the constraints. The minimum value of c will occur when x is at its maximum or minimum value within the constraints.
Since x>-5 and x<4, x will be largest when x=4 and smallest when x=-5.
Substituting the values, the minimum value of c will be -2 * 4 * y = -8y.