** Solve the following system of linear inequalities by graphing.?

Question

x -2y => 4

x <= 4

Answer 1

x - 2y >= 4
Add 2y to both sides :
x >= 2y + 4
Turn it around :
2y + 4 <= x
But, x <= 4
Therefore, 2y + 4 <= x <= 4
Thus, 2y + 4 <= 4
Subtract 4 from both sides :
2y <= 0
Divide both sides by 2 :
Therefore, y <= 0.

Answer 2

Isolate y and also you get correct right here inequalities y > 3*x - 2 y > -x + 2 the component to appreciate, is that you aren't any further only searching for numerous x values the position the inequalities carry yet a chain of (x,y) pairs the position the inequalities carry. answer start up by technique of drawing the lines and colour the aspects the position each and every inequality is authentic with separate shades. Your answer set is the area the position you've colored with both shades. therefore you should get some thing like this {(x,y) | y > -x+2 at the same time as x< a million OR y> 3x-2 at the same time as x>a million} Theoretically you should calculate the intersection aspect of the lines yet subsequently that's really glaring.