At what values of x does the function y = 16-5x / 3 take positive values.

y = 16 – (5x / 3)

16 – (5x / 3)> 0

Let us leave the terms with x on the left, and the terms without x on the right.

– (5x / 3)> -16;

Multiply both sides of the inequality by -1, the sign of the inequality will change to the opposite.

We get:

5x / 3 <16;

We multiply both sides of the inequality by 3. We get:

5x <16 * 3;

Find x:

x <48/5;

x <9.6

Answer: the function will take positive values for x <9.6.