Answer :

2x+6<x+5
subtract x from both sides
x+6<5
subtract 6 from both sides
x<-1

so x<-1

solution set
S={x|x<-1}
 2x + 6 ≤ x + 5
- x         - x     
   x + 6 ≤ 5
       - 6  - 6
         x ≤ -1

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