Solve: `|4x-5|le(1)/(3),x in R`

1.	Solve: `\|4x-5\|le(1)/(3),x in R`
Answer» Correct Answer - `[(7)/(6),(4)/(3)]` Using `\|x\|leaiff-alexlea`, we get `\|4x-5\|le(1)/(3)rArr-(1)/(3)le4x-5le(1)/(3)rArr(14)/(3)le4x and4x le(16)/(3)` `rArr(7)/(6)lex and x le(4)/(3) rArr(7)/(6)le x le (4)/(3) rArr x in [(7)/(6),(4)/(3)]`.

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