SOLUTION: Sketch the solutions to the following system of inequalities. 1. {(x-4)^2 + y^2 <=25 {(x+4)^2 + y^2 <=25 2. {3x-4y <=12 {x+4y<=-2 I tried multiple things, and still

Algebra ->  Graphs -> SOLUTION: Sketch the solutions to the following system of inequalities. 1. {(x-4)^2 + y^2 <=25 {(x+4)^2 + y^2 <=25 2. {3x-4y <=12 {x+4y<=-2 I tried multiple things, and still       Log On


   



Question 256130: Sketch the solutions to the following system of inequalities.
1.
{(x-4)^2 + y^2 <=25
{(x+4)^2 + y^2 <=25
2.
{3x-4y <=12
{x+4y<=-2
I tried multiple things, and still could not figure them out.. DX Any help would be appreciated.

Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Let's take each one at a time:
1.
(i) %28x-4%29%5E2+%2B+y%5E2+%3C=25
This is a circle with center (4,0) and radius = 5
(ii) %28x%2B4%29%5E2+%2B+y%5E2+%3C=25
This is a circle with center (-4,0) and radius = 5
When you graph them shade inside each circle. This program can do shading, but it will be confusing.

2.
(i) 3x-4y+%3C=12
solved for y, we get
(ii) y%3E=%283%2F4%29x+-+3
(iii) x%2B4y%3C=-2
solved for y, we get
(iv) y+%3C=+%28-1%2F4%29x+-1%2F2
WHen you graph the lines, shade up for (ii) and down for (iv). This program can do shading, but it will be confusing.