# Solve the given inequality for real x: 4x + 3 < 5x + 7

Question:

Solve the given inequality for real $x: 4 x+3<5 x+7$

Solution:

$4 x+3<5 x+7$

$\Rightarrow 4 x+3-7<5 x+7-7$

$\Rightarrow 4 x-4<5 x$

$\Rightarrow 4 x-4-4 x<5 x-4 x$

$\Rightarrow-4 Thus, all real numbers$x$, which are greater than$-4$, are the solutions of the given inequality. Hence, the solution set of the given inequality is$(-4, \infty)\$.