graphing and solving systems of linear inequalities

[RachelB]

I need help with graphing and solving systems of linear inequalities.
Like this problem


x less than or equal to -1
y less than 2x + 2


The directions say, Graph the system of linear inequalities.


I have just two more problems


x + y grater than or equal to 3
y greater than 1

X less than 0
y greater than or equal to x - 5

Please help!!!!!!!!!

 

[arthur ohlsten]

y<2x+2
x<= -1

let us look at y=2x+2 a straight line, slope 2 y intercept = 2
plot the line, the area below this line satisfys the inequality

sketch lines at -45 degrees below this line

x<=-1
draw a vertical line at x=-1 , the area to the left of this line satisfys the inequality
sketch lines at +45 degrees to the left of this line

the crosshatched area satisfys the two inequalities
===================================================
y>1
sketch a horizontal line at y=1. the area above this line satisfys the inequality
sketch lines at -45 degrees in this area

x+y>=3
y>=-x+3
let us examine y=-x+3 a straight line slope -1 y intercept 3
the area on and above this line satisfys the inequality

the cross hatched area satisfys the 2 inequalities

================================================
x<0
sketch a vertical line at x=0
sketch lines at -45 degrees to the left of this line

y>=x-5
let us inspect y=x-5 a straight line slope 1 y intercept -5
sketch this line
sketch lines at -45 degrees in the area above this line

the cross hatched area satisfys the inequalities
Arthur
sketch lines at +45 degrees in this area