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.