Question

1. Identify the solution set of the inequality below by shading the graph below y

Answer 1

We have that the solution set (By looking at the graph) will be given by:

`(-\infty,-3x-2)`

That, since in the function we can see that the values come from minus infinity and go to the values defined by the expression on the right side of the inequality.

***

We follow the inequality as if it were a function, and graph it, that is:

`y=-3x-2`

If we plot the line, we would get:

Which is the line given in the problem, and since y is smaller than -3x -2, we will have that the maximum values will be defined by the expression -3x -2. So, our answer will be all the values below that line to the left, and we can see that the values (given y < -3x -2) are infinite and come from - infinite, so the answer is:

`(-\infty,-3x-2)`

And here is the solution in a graph (shaded):