Determine el conjunto solución de ││2x - 1│ - 4│≤2?

<img src="https://tex.z-dn.net/?f=%5Cleft%7C%7C2x-1%7C-4%5Cright%7C%5Cleq%202%5Ciff%20-2%5Cleq%20%7C2x-1%7C-4%5Cleq%202%5C%5C%20%5C%5C%0A%5Cleft%7C%7C2x-1%7C-4%5Cright%7C%5Cleq%202%5Ciff%202%5Cleq%20%7C2x-1%7C%5Cleq%206%5C%5C%20%5C%5C%0A%5Cleft%7C%7C2x-1%7C-4%5Cright%7C%5Cleq%202%5Ciff%20%5Cleft%28%7C2x-1%7C%5Cgeq%202%5Cwedge%7C2x-1%7C%5Cleq%206%5Cright%29%5C%5C%20%5C%5C%0A%5Cleft%7C%7C2x-1%7C-4%5Cright%7C%5Cleq%202%5Ciff%20%5Cleft%5B%282x-1%5Cleq%20-2%20%5Cvee%202x-1%5Cgeq%202%29%5Cwedge%20-6%5Cleq%20%0A2x-1%5Cleq%206%5Cright%5D" />

<img src="https://tex.z-dn.net/?f=%5Cleft%7C%7C2x-1%7C-4%5Cright%7C%5Cleq%202%5Ciff%20%5Cleft%5B%282x%5Cleq%20-1%20%5Cvee%202x%5Cgeq%203%29%5Cwedge%20-5%5Cleq%202x%5Cleq%207%5Cright%5D%5C%5C%20%5C%5C%0A%5Cleft%7C%7C2x-1%7C-4%5Cright%7C%5Cleq%202%5Ciff%20%5Cleft%5B%5Cleft%28x%5Cleq%20-%5Cdfrac%7B1%7D%7B2%7D%20%5Cvee%20x%5Cgeq%20%5Cdfrac%7B3%7D%7B2%7D%5Cright%29%5Cwedge%20-%5Cdfrac%7B5%7D%7B2%7D%5Cleq%20x%5Cleq%20%5Cdfrac%7B7%7D%7B2%7D%5Cright%5D" />

<img src="https://tex.z-dn.net/?f=%5Cleft%7C%7C2x-1%7C-4%5Cright%7C%5Cleq%202%5Ciff%20x%5Cin%20%5Cleft%5C%7B%5Cleft%5B%5Cleft%28-%5Cinfty%2C-%5Cdfrac%7B1%7D%7B2%7D%5Cright%5D%5Ccup%20%5Cleft%5B%5Cdfrac%7B3%7D%7B2%7D%2C%2B%5Cinfty%5Cright%29%5Cright%5D%5Cwedge%20%5Cleft%5B-%5Cdfrac%7B5%7D%7B2%7D%2C%5Cdfrac%7B7%7D%7B2%7D%5Cright%5D%5Cright%5C%7D%5C%5C%20%5C%5C%20%5C%5C%0A%5Cboxed%7B%5Cboxed%7B%5Cleft%7C%7C2x-1%7C-4%5Cright%7C%5Cleq%202%5Ciff%20x%5Cin%5Cleft%5B-%5Cdfrac%7B5%7D%7B2%7D%2C-%5Cdfrac%7B1%7D%7B%7B2%7D%5Cright%5D%5Ccup%5Cleft%5B%5Cdfrac%7B3%7D%7B2%7D%2C%5Cdfrac%7B7%7D%7B2%7D%5Cright%5D%7D%7D%7D" />.