math problem i need help with

Question

Chang will donate up to 500 dollars to charity. The money will be divided between two charities: the City Youth Fund and the Educational Growth Foundation. Chang would like the amount donated to the Educational Growth Foundation to be at least twice the amount donated to the City Youth Fund. Let x denote the amount of money (in dollars) donated to the City Youth Fund. Let y denote the amount of money (in dollars) donated to the Educational Growth Foundation. Shade the region corresponding to all values of x and y that satisfy these requirements.

Answer 1

2y>x or x<2y

x+y < 500

The points satisfying the 2nd inequality is a triangle bordered by the x and y axes and a downward sloping line connecting points (0,500) and (500,0)

the 1st inequality is half a plane, above the line x=2y or a line through the origin, with slope 1/2

the two overlap in a triangle bordered by the y axis, the line x+y=500 and the line x=2y

It's a triangle with vertices (333 1/3, 166 2/3) (0,500) and the origin (0,0)

Basically