[tex]-\dfrac{2}{5}x-9<\dfrac{9}{10}\qquad|\text{multiply both sides by 10}\\\\10\cdot\left(-\dfrac{2}{5}x\right)-10\cdot9<10\cdot\dfrac{9}{10}\\\\2(-2x)-90<9\qquad|\text{add 90 to both sides}\\\\-4x<99\qquad|\text{change the signs}\\\\4x>-99\qquad|\text{divide both sides by 4}\\\\x>-24.75[/tex]