Question

Graph the inequality.

\[(x-1)^2 + (y-5)^2 > 9\]

Answer 1

@ganeshie8

Answer 2

you wana see the sun ?

Answer 3

lol say what? o.o

Answer 4

lets see what the corresponding inequality represents :

\[\large (x-1)^2 + (y-5)^2 = 9\]

Answer 5

does that equation look familiar ?

Answer 6

Yesh...the only difference is the signs

Answer 7

its the equation of circle centered at (1, 5) whose radius is 3 :

Answer 8

may look something like that ^^

Answer 9

just like the previous line inequalities :

below equation represents `circle` :
\[(x-1)^2 + (y-5)^2 = 9\]

below inequality represents `inside region` of circle :
\[(x-1)^2 + (y-5)^2 \lt 9\]

below region represents `outside region` of circle :
\[(x-1)^2 + (y-5)^2 \gt 9\]

Answer 10

so for the given inequality you just shade the outside region of the circle