Explanation:
The equation X/C = 6.5 is given, and we are tasked with finding the values of C for which the solution is positive. Let's analyze the equation to determine the conditions that need to be satisfied.
In the equation X/C = 6.5, X represents a variable and C represents another variable. We are interested in finding values of C that make the solution (X/C) positive.
To determine these values, we can start by multiplying both sides of the equation by C. Doing so, we get X = 6.5C. This equation still represents the same relationship, but now it is in a different form.
From this new equation, it becomes evident that the value of X is directly proportional to the value of C. As C increases, X will also increase. Similarly, if C decreases, X will decrease.
To find the values of C for which the solution X/C is positive, we need to consider the inequality X > 0. Rearranging the inequality in terms of C, we have 6.5C > 0.
Dividing both sides of the inequality by 6.5, we get C > 0. This inequality tells us that for any positive value of C, the solution X/C will be positive. As long as C is greater than zero, the solution will be positive.
Hence, the values of C for which the solution X/C is positive are all positive numbers greater than zero. This means any value of C in the interval (0, +∞) will result in a positive solution for X/C.
Therefore, the solution set for C is the set of all positive real numbers, excluding zero.
Please note that this analysis is based on the given equation X/C = 6.5 and the requirement of finding values of C for which the solution is positive. The context provided does not offer any specific restrictions or additional conditions.