Question

Ifx <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

Answer 1

For c=5 there are not solutions for the compound inequality

Explanation:

we know that

In the compound inequality

`x < 5` -----> inequality A

`x > c` -----> inequality B

The solution of the system of inequalities must satisfy inequality A and must satisfy inequality B

so

If c=5

then

There is no solution that satisfies both inequalities simultaneously.

therefore

For c=5 there are not solutions for the compound inequality