Bonsoir ! SVP Aidez moi a résoudre cette inéquation . (5x-3)(4-x) > 0 Merciiiiiiiii

(5x-3)(4-x)>0 <=> 20x-5x^2-12+3x>0
<=> 5x^2-23x+12<0
<=> x^2-23x/5+12/5<0
<=> x^2-2*x*23/10+(23/10)^2<(23/10)^2-12/5
<=> (x-23/10)^2<(529/100)-12/5
<=> (x-23/10)^2<(529-12*20)/100
<=> (x-23/10)^2<289/100
<=>(x-23/10)^2<(17/10)^2
<=>-17/10<=>23/10-17/10<=>3/5