Đáp án:

Giải thích các bước giải:

 ` a) `

` |  x - 1/2 | <= 1/3 `

` <=> ` \(\left[ \begin{array}{l}x-\dfrac{1}{2}\le\dfrac{1}{3}\\x-\dfrac{1}{2}\ge-\dfrac{1}{3}\end{array} \right.\) 

` <=> ` \(\left[ \begin{array}{l}x\le \dfrac{5}{6}\\x\ge\dfrac{1}{6}\end{array} \right.\) 

` b) `

` | 2x - 1/2 | > | -1,5 | `

` <=> | 2x - 1/2 | > 1,5 `

` <=> ` \(\left[ \begin{array}{l}2x-\dfrac{1}{2}>1,5\\2x-\dfrac{1}{2}<-1,5\end{array} \right.\) 

` <=> ` \(\left[ \begin{array}{l}2x>2\\2x<-1\end{array} \right.\) 

` <=> ` \(\left[ \begin{array}{l}x>1\\x<-\dfrac{1}{2}\end{array} \right.\)