Question

Math. Help much appreciated

Answer 1

First of all, expand the left hand side:

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

Sum like terms:

$4x -3 < 3x + 5$

Add 3 to both sides:

$4x < 3x + 8$

Subtract 3x from both sides:

$x < 8$

So this is the solution. Every number smaller than 8 (excluded) is part of the solution of this inequality.