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

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Answer 1 · 2016-12-23T15:44:58

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

When both sides of inequation are added or subtracted by a positive number the inequality sign remains the same.
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#