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

Dec 23, 2016

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.

$3 x + 7 > 4 x + 9$
or, $3 x - 4 x + 7 > 4 x - 4 x + 9$ $\rightarrow$4x is subtracted from both sides
or, $- x + 7 - 7 > 9 - 7$ $\rightarrow$ 7 is subtracted from both sides
or, $- x > 2$
or, $\frac{- x}{-} 1 < \frac{2}{-} 1$ $\rightarrow$ -1(Negaive number) is divided on both
sides.So inequality sign is changed.
or, $x < - 2$