What problem are you having ? I assume that you have no problem with y<0 that is just the region below the x axis.

for y<1/3x^2+2x-5 first draw the curve y=1/3x^2+2x-5 and the region below the curve represents y<1/3x^2+2x-5 Do you understand why ?

for 3y-4x<=-2 rewrite this as this as y<=4/3x-2/3 now this a just a region below a line

Use this visual aid, your solution is the darkest blue area.

Bobak