3x-x^2>0 — step-by-step solution

⚠ 3x is read as the product 3*x: for a power, write 3^x

Let's solve in

ℝ

3 x - x^{2} > 0

You can factor:

3 x - x^{2}

into:

x \cdot (3 - x)

Solution found:

x > 0

Let's solve in

ℝ

3 - x > 0

3 > x

Solution found:

x < 3

Let's aggregate the different solutions to find the overall solution:

▶Solution obtained:

x \in (0, 3)