Răspuns :
[tex]4:x>6[/tex]
[tex]\dfrac{4}{x}>6[/tex]
[tex]\dfrac{4}{x}-6>0[/tex]
[tex]\dfrac{4-6x}{x}>0[/tex]
[tex]\dfrac{2(2-3x)}{x}>0[/tex]
[tex]~~~[/tex]
[tex]2(2-3x)>0~~~~;~~x>0[/tex]
[tex]2(2-3x)<0~~~~;~~x<0[/tex]
[tex]~~~[/tex]
[tex]x<\dfrac{2}{3}~~~~;~~x>0[/tex]
[tex]x>\dfrac{2}{3}~~~~;~~x<0[/tex]
[tex]~~~[/tex]
[tex]x\in0; ~\dfrac{2}{3}[/tex]
x € Ø
[tex]x\in0; ~\dfrac{2}{3}[/tex]
[tex]\dfrac{4}{x}>6[/tex]
[tex]\dfrac{4}{x}-6>0[/tex]
[tex]\dfrac{4-6x}{x}>0[/tex]
[tex]\dfrac{2(2-3x)}{x}>0[/tex]
[tex]~~~[/tex]
[tex]2(2-3x)>0~~~~;~~x>0[/tex]
[tex]2(2-3x)<0~~~~;~~x<0[/tex]
[tex]~~~[/tex]
[tex]x<\dfrac{2}{3}~~~~;~~x>0[/tex]
[tex]x>\dfrac{2}{3}~~~~;~~x<0[/tex]
[tex]~~~[/tex]
[tex]x\in0; ~\dfrac{2}{3}[/tex]
x € Ø
[tex]x\in0; ~\dfrac{2}{3}[/tex]