The values of the argument at which the function takes y = -0.5x-3.

In order to find at what values ​​of x the function y = -0.5x – 3 takes positive and negative values, we must solve two linear inequalities.

1) In order to find for which x the function takes positive values, we solve the inequality.

-0.5x – 3> 0;

-0.5x> 3;

Let us divide both sides of the inequality by -0.5 and change the sign of the inequality to the opposite one.

x <3: (-0.5);

x <-6.

2) In order to find at what x the function takes negative values, we solve the inequality.

-0.5x – 3 <0;

-0.5x <3;

Divide both sides of the inequality by -0.5 and change the inequality sign to the opposite.

x> 3: (-0.5);

x> -6.