Question

Tìm Tập nghiệm của bất phương tình sau: 3 - 2x - 1/2 > x

Answer 1

a)\(3-2x-\dfrac{1}{2}>x\)

\(\Leftrightarrow3-2x-\dfrac{1}{2}-x>0\)

\(\Leftrightarrow3-3x-\dfrac{1}{2}>0\)

\(\Leftrightarrow-3x+\dfrac{5}{2}\Leftrightarrow-3x>-\dfrac{5}{2}\Leftrightarrow x>\dfrac{5}{6}\)

Answer 2

\(3-2x-\dfrac{1}{2}>x\)

\(\Leftrightarrow3-2x-\dfrac{1}{2}-x>0\)

\(\Leftrightarrow3-3x-\dfrac{1}{2}>0\)

\(\Leftrightarrow3-3x>\dfrac{1}{2}\Leftrightarrow3x>\dfrac{5}{2}\Leftrightarrow x>\dfrac{5}{6}\)