Answer :
Yes. You are correct. Let me know if you need any more help with this question
|-5x-2|-7>0
Add 7 on both sides
|-5x-2|-7+7>0+7
|-5x-2|>7
|f(x)|>a
f(x)<-a or f(x)>a
-5x-2<-7 or -5x-2>7
solve:
-5x-2<-7 : x>1
solve:
-5x-2>7 : x<-9/5
Add 7 on both sides
|-5x-2|-7+7>0+7
|-5x-2|>7
|f(x)|>a
f(x)<-a or f(x)>a
-5x-2<-7 or -5x-2>7
solve:
-5x-2<-7 : x>1
solve:
-5x-2>7 : x<-9/5