For which values of a the system has no solution: x≤5, x≥a

Given:

The system of inequalities is

To find:

The values of a for which the system has no solution.

Solution:

We have,

       ...(1)

It means the value of x is less than or equal to 5.

       ...(2)

It means the value of x is greater than or equal to a

Using (1) and (2), we get

But if a is great than 5, then there is no value of which satisfies this inequality.

Therefore, the system has no solution for a>5.

i think it is 70

step-by-step explanation: