At what x do both functions y = 0.3x-3 and y = -0.1x + 5 take positive values?

We have two functions:

y1 = 0.3 * x – 3;

y2 = -0.1 * x + 5;

In order to find at what value of the variable both functions take positive values at the same time, we solve a system of two equations, each of which is based on the condition “the value of the function is a positive number”:

0.3 * x – 3> 0;

-0.1 * x + 5> 0;

0.3 * x> 3;

0.1 * x <5;

x> 10;

x <50.

Find the intersection of solutions to our inequalities and obtain a double inequality:

10 <x <50.