Solve for `x`:

`5< 3(x-4)< 3`

Type DNE if there is no solution.

Write your answer in interval notation:  

Box 1: Enter your answer using interval notation. Example: [2,5)
Use U for union to combine intervals. Example: (-oo,2] U [4,oo)
Enter each value as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for an empty set. Use oo to enter Infinity.