Question

Graph the system of inequalities y > -3, y < -|x+2|. Which two quadrants does the solution lie in?

Quadrants 3 and 4

Quadrants 1 and 4

Quadrants 1 and 2

Quadrants 2 and 3

Answer 1

Quadrants 3 and 4

Explanation:

we have

`y>-3`

`y<-\left|x+2\right|`

using a graphing tool

The solution is the triangular shaded area between the three dashed lines

see the attached figure

The solution lies in Quadrants 3 and 4