Final answer:
The set of values for which y will be a real number in the equation y=(5)/(x-8) is all real numbers except x=8.
Step-by-step explanation:
To determine the set of values for which y will be a real number in the equation y=(5)/(x-8), we need to identify the values of x that would make the denominator x-8 equal to zero. If the denominator is zero, the fraction becomes undefined. Therefore, we set x-8 = 0 and solve for x. Adding 8 to both sides of the equation, we get x = 8. So, the value of x cannot be 8, as it would make the denominator zero and the fraction undefined.