If x < 5 and x >c, give a value of c such that there
are no solutions to the compound inequality.
Explain why there are no solutions

Respuesta :

we have  

x<5

x>c

we know that

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.  

The value of c could be 5 or any number greater than 5, such that there are no solutions to the compound inequality

Because

A number cannot be both less than 5 and greater than 5 at the same time

therefore

the answer is

for c_> there are no solutions to the compound inequality