Tìm x biết rằng: ​\(\left| { - 2x - 1} \right| = \frac{1}{3}\)

Câu hỏi :

Tìm x biết \(\left| { - 2x - 1} \right| = \frac{1}{3}\)

A.  \(x = \frac{{ - 2}}{3}\,\,hay\,\,x = \frac{{ - 1}}{3}\)

B.  \(x = \frac{{ 2}}{3}\,\,hay\,\,x = \frac{{ - 1}}{3}\)

C.  \(x = \frac{{ - 2}}{3}\,\,hay\,\,x =1\)

D.  \(x = \frac{{ - 2}}{3}\,\,hay\,\,x = \frac{{ 2}}{3}\)

* Đáp án

A

* Hướng dẫn giải

 \(\begin{array}{l} \left| { - 2x - 1} \right| = \frac{1}{3}\\ - 2x - 1 = \frac{1}{3}\,\,hay\,\, - 2x - 1 = - \frac{1}{3}\\ - 2x = \frac{1}{3} + 1\,\,hay\,\, - 2x = - \frac{1}{3} + 1\\ - 2x = \frac{4}{3}\,\,hay\,\, - 2x = \frac{2}{3}\\ x = \frac{4}{3}:\left( { - 2} \right)\,\,hay\,\,x = \frac{2}{3}:\left( { - 2} \right)\\ x = \frac{{ - 2}}{3}\,\,hay\,\,x = \frac{{ - 1}}{3} \end{array}\)

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