Question

Hi help pls doing all my late work last minute so i don’t fail

Answer 1

Given:

The compound inequality is:

`-1>n\geq 5`

To find:

The reason for no solution of the given inequality.

Solution:

We have,

`-1>n\geq 5`

This inequality can be written as two separate inequalities.

`-1>n` and
`n\geq 5`

The inequality
`-1>n` represents all real values less than -1.

The inequality
`n\geq 5` represents all real values greater than or equal to 5.

Both inequalities
`-1>n` and
`n\geq 5` have no common values. Therefore, the given inequality has no solution. Hence proved.