$-3(4x - 8.2) < -11.98x+14\frac{3}{4}$

Explanation:

Step1: Expand the left - hand side

$-3(4x - 8.2)=-12x + 24.6$ So the inequality becomes $-12x + 24.6<-11.98x+14\frac{3}{4}$

Step2: Convert the mixed number to decimal

$14\frac{3}{4}=14.75$ The inequality is $-12x + 24.6<-11.98x+14.75$

Step3: Add $12x$ to both sides

$24.6<-11.98x + 12x+14.75$ $24.6 < 0.02x+14.75$

Step4: Subtract 14.75 from both sides

$24.6-14.75<0.02x$ $9.85 < 0.02x$

Step5: Divide both sides by 0.02

$x>\frac{9.85}{0.02}$ $x > 492.5$

Answer:

$x > 492.5$