Question

\(2-\dfrac{2}{3}x>\dfrac{1}{4}\left(x-2\right)+11\)

Answer 1

\(2-\dfrac{2}{3}x>\dfrac{1}{4}\left(x-2\right)+11\\ \Leftrightarrow24-8x>3\left(x-2\right)+132\\ \Leftrightarrow24-8x>3x-6+132\\ \Leftrightarrow-8x-3x>126-24\\ \Leftrightarrow-11x>102\\ \Leftrightarrow x< -\dfrac{102}{11}\)

Vậy bất phương trình có tạp nghiệm \(S=\left\{x/x< -\dfrac{102}{11}\right\}\)

Answer 2

2 - 2/3x = 1/4 (x - 2 ) + 11

<=> -2/3x - 1/4x = 11 - 1/2 - 2

<=> -11/12x = 17/2

<=> x = 102/11