|x+3|>y y>2x-1 Graph the solution of each system.

Question

|x+3|>y y>2x-1

Please help

Answer 1

I used desmos, but here is a description:

First of all, all lines are dotted/dashed , not solid, because of the strict inequalities.

The first function can be defined/rewritten as:

-x - 3 if x<=-3 and x+3 otherwise

x+3 and 2x-1 meet at (2,5).

THe solution set is anything below -x-3 AND between x+3 and 2x-1.

It is the shape of a convex quadrilateral, with interior point (-3,0).

THe right wing ends at (2,5) and begins at (-3,0)

the left wing and nose tip go off to infinity and negative infinity respectively

You can graph it at desmos quite easily. The desmos website is desmos dot com