Respuesta :

we have 
[tex]x \ \textless \ 5 \\ x \ \textgreater \ c[/tex]

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 [tex]c \geq 5[/tex] there are no solutions to the compound inequality

Inequalities are used to relate unequal expressions.

A possible value of x, where the inequality has no solution is 7.

The compound inequality is given as:

[tex]\mathbf{x < 5\ and\ x > c}[/tex]

Rewrite as:

[tex]\mathbf{5 > x\ and\ x > c}[/tex]

Merge the inequalities

[tex]\mathbf{5 > x > c}[/tex]

For the above inequality to be true, the value of c must be less than 5 and x.

So, a possible value of x, where the inequality has no solution is 7.

Because 7 is greater than 5

Read more about compound inequality at:

https://brainly.com/question/17957246