Answer:
c = 6
Step-by-step explanation:
The compound inequality is c < x < 5
If we want a value of c such that there are no solutions, we need to make that inequality false.
From the inequality we can see that 5 must be greater than c to be true.
Therefore, we need to choose a value smaller or equal than 5.
For example, c=6.
If c = 6, that means that x is greater than 6 and smaller than 5. That's impossible, there is no number that meets that.
Therefore, our compound inequality 6 < x < 5 has no solutions.
Answer:
The value of c could be 5 or any number greater than 5.
The solution is the intersection of both solution sets of the given inequalities.
The solutions of the compound inequality must be solutions of both inequalities.
A number cannot be both less than 5 and greater than 5 at the same time.
