1.

Solve `|3x-2| le 5`.

Answer» `|3x -2| le 5`
`rArr -5 le 3x -2 le 5`
`rArr -5 + 2 le 3x le 5 + 2` (adding 2 throughout the continued inequation)
`rArr -3 le 3x le 7`
`rArr (-3)/(3) le x le (7)/(3)` (dividing by 3 throughout the contiued inequation)
`rArr -1 le x le (7)/(3)`
`therefore ` Solution set `={ x //-1le x le (7)/(3)} (or) = [-1, (7)/(3)]`.


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