Question

how would you graph (x-1)^2 + (y-1)^2+ (z-1)^2 < 1/4

Answer 1

(1,1,1) is center of sphere

Answer 2

if we wanted to graph (x-1)^2+(y-1)^2+(z-1)^2=1/4
then (1,1,1) is center and r=1/2

so draw a sphere with center (1,1,1) and radius 1/2

then shade everything inside the sphere since you want all spheres with center (1,1,1) and radi less than 1/2

and make the graph for (x-1)^2+(y-1)^2+(z-1)^2=1/4 broken (not a solid curve)

Answer 3

i know it is an open set, but i am confused on how to draw this on a 3d graph lol