Question

Answer 1

\(\dfrac{2x-3}{5}+\dfrac{x-4}{3}< \dfrac{x+2}{4}\)

\(\Leftrightarrow12\left(2x-3\right)+20\left(x-4\right)< 15\left(x+2\right)\)

\(\Leftrightarrow24x-36+20x-80< 15x+30\)

\(\Leftrightarrow24x+20x-15x< 30+80+36\)

\(\Leftrightarrow29x< 146\)

\(\Leftrightarrow x< \dfrac{146}{29}\)

Vậy \(S=\left\{x\left|x< \dfrac{149}{29}\right|\right\}\)

^{do dấu gạch đứng bị gì nên nó thành giá trị tuyệt đối nha bạn.}