SOLUTION: describe the solution of each of the following inequalities by graphing. 1. x-2y>3 2. x+3y-7<0 3. y<-1/2x-1 4. -1/2x+y-1<0 5. x>-y+2

Hi

Note: the standard slope-intercept form for an equation of a line y = mx + b

  where m is the slope and b the y-intercept. 

I.Putting the Inequality in terms of y gives us slope-intercept format 

 	         In terms of y	   Slope	  y-intercept	 shaded area

x-2y>3	        y < x/2 - 3/2	    m = 1/2	  (0,-3/2)	   Below line

x+3y-7<0	  y <-x/3 + 7/3	    m = -1/3     (0,7/3)	   Below line

y<(-1/2)x-1	  y <(-1/2)x-1	    m= -1/2      (0,-1)	        Below line

(-1/2)x+y-1<0	y < x/2 + 1	    m = 1/2	   (0,1)	   Below line

x>-y+2	           y > -x+2          m = -1	    (0,2)	  Above line

II. Graph line: 

   Plot the y-intercept Pt and  

   Use slope to find two other points starting from y-intercept Pt

III. Shade Area defined by the Inequality (above or Below line) 

 (Note: the inequalities listed here do not include the line)

have completed grahing for the first, the remainder are done in the same way.

x-2y>3	     OR   y < x/2-3/2  m = 1/2	  (0,-3/2)	Below line

Note: m = 1/2, as y increases/decreases by 1, x increases/decreases by 2 





 
Solved by pluggable solver: Plot Any Inequality
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