a)x−54≥3−2x5x−54≥3−2x5
⇔5x−2520≥12−8x20⇔5x−2520≥12−8x20
⇔5x−25≥12−8x⇔5x−25≥12−8x
⇔5x+8x≥12+25⇔5x+8x≥12+25
⇔13x≥37⇔13x≥37
⇔x≥3713⇔x≥3713
b)2x(6x−1)−3<3x(4x+3)−5x2x(6x−1)−3<3x(4x+3)−5x
⇔12x2−2x−3<12x2+9x−5x⇔12x2−2x−3<12x2+9x−5x
⇔12x2−12x2−2x−9x+5x<3⇔12x2−12x2−2x−9x+5x<3
⇔−6x<3⇔−6x<3
⇔x>−12⇔x>−12
c)|x−4|=5−3x|x−4|=5−3x
⇔[5−3x=x−45−3x=4−x⇔[5−3x=x−45−3x=4−x
⇔[5+4=x+3x5−4=−x+3x⇔[5+4=x+3x5−4=−x+3x
⇔[4x=92x=1⇔[4x=92x=1
⇔⎡⎣⎢⎢x=94x=12
