Question

4 impartit la ,,x" mai mare decat 6
x=?

Answer 1

4 : x > 6 
x > 4 : 6 
x > 0,(6) 

Answer 2

$4:x>6$
$\dfrac{4}{x}>6$
$\dfrac{4}{x}-6>0$
$\dfrac{4-6x}{x}>0$
$\dfrac{2(2-3x)}{x}>0$

$~~~$

$2(2-3x)>0~~~~;~~x>0$
$2(2-3x)<0~~~~;~~x<0$

$~~~$

$x<\dfrac{2}{3}~~~~;~~x>0$
$x>\dfrac{2}{3}~~~~;~~x<0$

$~~~$

$x\in0; ~\dfrac{2}{3}$
x € Ø
$x\in0; ~\dfrac{2}{3}$