Solve inequality 5x –3 < 3x + 1

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:

   5x - 3x < 3x + 1 - 3x

   This simplifies to:

   2x - 3 < 1

2. Next, we add 3 to both sides to isolate the x term:

   2x - 3 + 3 < 1 + 3

   This simplifies to:

   2x < 4

3. Finally, we divide both sides by 2 to solve for x:

   2x / 2 < 4 / 2

   This simplifies to:

   x < 2

So, the solution to the inequality 5x – 3 < 3x + 1 is x < 2.