Kết luận nào đúng về giá trị của biểu thức \({\rm{A = }}\frac{1}{5}{\rm{ }} - {\rm{ }}\left[ {\left( {\frac{{ - {\rm{ 2}}}}{3}} \right){\rm{ }} - {\rm{ }}\left( {\frac{1}{3}{\rm{ + }}\frac{5}{6}} \right)} \right]?\)

Đáp án đúng là: B

Ta có: \(A{\rm{ = }}\frac{1}{5}{\rm{ }} - {\rm{ }}\left[ {\left( {\frac{{ - {\rm{ 2}}}}{3}} \right){\rm{ }} - {\rm{ }}\left( {\frac{1}{3}{\rm{ + }}\frac{5}{6}} \right)} \right]\)

\( = {\rm{ }}\frac{1}{5}{\rm{ }} - {\rm{ }}\left[ {\left( {\frac{{ - {\rm{ 2}}}}{3}} \right){\rm{ }} - {\rm{ }}\left( {\frac{2}{6}{\rm{ + }}\frac{5}{6}} \right)} \right]\)

\( = {\rm{ }}\frac{1}{5}{\rm{ }} - {\rm{ }}\left( {\frac{{ - {\rm{ 2}}}}{3}{\rm{ }} - {\rm{ }}\frac{7}{6}} \right)\)

\( = {\rm{ }}\frac{1}{5}{\rm{ }} - {\rm{ }}\left( {\frac{{ - {\rm{ 4}}}}{6}{\rm{ }} - {\rm{ }}\frac{7}{6}} \right)\)

\( = {\rm{ }}\frac{1}{5}{\rm{ }} - {\rm{ }}\frac{{ - {\rm{ 11}}}}{6}\)

\( = {\rm{ }}\frac{6}{{30}}{\rm{ }} - {\rm{ }}\frac{{ - {\rm{ 55}}}}{{30}}\)

\( = {\rm{ }}\frac{{6{\rm{ }} - {\rm{ }}\left( { - {\rm{ 55}}} \right)}}{{30}}\)

\( = {\rm{ }}\frac{{61}}{{30}}.\)

Do \(A{\rm{ }} = {\rm{ }}\frac{{61}}{{30}}{\rm{ }} > {\rm{ }}\frac{{60}}{{30}}{\rm{ }} = {\rm{ }}2\) nên A > 2.