Determine the interval at which the function y = -2x-2 takes negative values.

In order to find the interval at which the function given by the equation y = 2x – 2 takes negative values, we solve the linear inequality:

2x – 2 <0;

We solve the linear inequality using identical transformations, as we would solve a linear equation.

Unlike an equation, when solving an inequality, we must carefully monitor its sign.

Move -2 to the right side of the equation:

2x <2;

Divide both sides of the inequality by 2 and keep the inequality sign the same:

x <1.

x belongs to (-infinity; 1).