Final answer:
The value of x is 36%, so the correct answer is C. 36≤x≤60. To find the value of x, use the concept of sets and the formula for finding the intersection of two sets.
Step-by-step explanation:
To find the value of x, we need to use the concept of sets and the formula for finding the intersection of two sets.
We know that 60% of the people watch one news channel, 76% watch another channel, and x% watch both channels. So the total percentage of people who watch at least one channel is given by:
Total percentage = Percentage watching first channel + Percentage watching second channel - Percentage watching both channels
Plugging in the given values, we get:
Total percentage = 60% + 76% - x%
Simplifying further:
Total percentage = 136% - x%
Since the total percentage cannot exceed 100%, we have:
100% = 136% - x%
Solving for x, we find:
x% = 36%
Therefore, the value of x is 36%, so the correct answer is C. 36≤x≤60.