7x-9 < 3x+4

Sure, let's solve the inequality step by step:

1. First, we need to get all the x terms on one side of the inequality and the constants on the other side. We can do this by subtracting 3x from both sides and adding 9 to both sides. This gives us:

   7x - 3x < 4 + 9

2. Simplifying both sides of the inequality gives us:

   4x < 13

3. Finally, to solve for x, we divide both sides of the inequality by 4:

   x < 13/4

So, the solution to the inequality 7x - 9 < 3x + 4 is x < 13/4.