Question 256130
Let's take each one at a time:
1.
(i) {{{(x-4)^2 + y^2 <=25}}}
This is a circle with center (4,0) and radius = 5
(ii) {{{(x+4)^2 + y^2 <=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.
{{{ graph( 300, 200, -10, 10, -10, 10, (x-4)^2 + y^2 <= 25, (x+4)^2 + y^2 <=25) }}}
2. 
(i) {{{3x-4y <=12}}}
solved for y, we get
(ii) {{{y>=(3/4)x - 3}}}
(iii) {{{x+4y<=-2}}} 
solved for y, we get
(iv) {{{y <= (-1/4)x -1/2}}}
WHen you graph the lines, shade up for (ii) and down for (iv). This program can do shading, but it will be confusing.
{{{ graph( 300, 200, -10, 10, -10, 10, y=(3/4)x - 3,y = (-1/4)x -1/2) }}}