How do i solve -3(4x-8.2)<-11.98x+14 3/4

Question

Just need to understand how to solve. Looks like the same was answered and the answer isn't one of my 4 multiple choices. What is the value of X in linear inequality? my 4 choices are:

a) <49.25

b) >49.25

c) <492.5

d) >492.5

Answer 1

Expand the bracket: -12x+24.6<-11.98x+14.75 (14 3/4 is the same as 14.75).

Add 12x to each side: 24.6<0.02x+14.75.

Subtract 14.75 from each side: 9.85<0.02x.

Multiply through by 50 (or divide through by 0.02): 492.5<x, so x>492.5 (answer d).