Answer:
[0,1,2,4,5,6]
Step-by-step explanation:
The given inequality is-
||x-3| - 2|<=1
Therefore, -1<=( |x-3| -2) <=1
Adding 1, we get -
1<=( |x-3|) <=3
|x-3| =1
This gives x=2 or 4
|x-3|=2
This gives x=5 or 1
|x-3|=3
This gives x=6 or x=0
Since x is real number therefore all values of x lying between [0,6] except 3 will satisfy the given inequality.
