7n-9<=1+8n<4+5n

Question

Please solve 

Answer 1

First, separate the two inequalities:   7n-9 <= 1+8n and 1+8n < 4+5n

 

7n-9 <= 1+8n  <- move all 'n' to original middle equation

-7n           -7n

 

-9 <= 1 + n   <- move all constants to the opposite side

-1      -1        

 

-10 <= n   is you first solution    

 

 

 

1+8n < 4+5n

   -5n       -5n

 

1+3n < 4

-1         -1

 

3n < 3

divide each side by three

 

n<1 is your second solution