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.

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk

$649.60

step-by-step explanation: