You can put this solution on YOUR website! 5X-4<6X+2 GENERALLY I LIKE THE UNKNOWN TERM ON THE LEFT SIDE. THUS:
5X-6X<2+4
-X<6 NOW WHEN YOU DIVIDE BY -1 THE < SIGN CHANGES TO THE > SIGN.
X>6/-1
X>-6 ANSWER.
PROOF
LET X=-5.9
5(-5.9)-4<6(-5.9)+2
-29.5-4<-35.4+2
-33.5<-33.4