How do you solve #3x+7>4x+9#?

1 Answer
Dec 23, 2016

Answer:

The solution for this inequality is #x<-2#.

Explanation:

  1. When both sides of inequation are added or subtracted by a positive number the inequality sign remains the same.
  2. When both sides of inequation are multiplied or divided by a negative number then the inequality sign is changed.

    #3x+7>4x+9#
    or, #3x-4x+7>4x-4x+9# #rarr#4x is subtracted from both sides
    or, #-x+7-7>9-7# #rarr# 7 is subtracted from both sides
    or, #-x>2#
    or, #(-x)/-1<2/-1# #rarr# -1(Negaive number) is divided on both
    sides.So inequality sign is changed.
    or, #x<-2#