Question

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 solution pls

Answer 1

5, or any value greater than or equal to 5

Explanation:

So, let's start with the inequality:
`x < 5` since it's something that has a value. This just means that x is less than 5... but in our compound inequality it's very important, since the other inequality is:
`x > c`,

so if we were to say:
`c=5`, then we would have the compound inequality:
`5 < c < 5` and there is no value that would satisfy this inequality, because what value is between 5 and 5?

In general, if
`c\ge5` than there will be no solutions, since x cannot be greater than or equal to 5, and also less than 5 at the same time.