Question

Help medal given

Answer 1

|x-5|>3 means x-5 is more than 3 units from 0.
That, in turn, means that x-5 must be to the right of 3 or it could be to the left of -3
Hence x-5>3 or x-5<-3
Solve each part

Answer 2

|x-5|≥3
It gives x-5≥3
x≥3+5 or x≥8
And x-5≤-3
orx≤-3+5or x≤2

Answer 3

what do you mean And

Answer 4

And means nothing but to show a different inequality
otherwise it should be or i.e.,x can be in first inequality or second inequality