SOLUTION: Referring to the figure, match the system of linear inequalities with its graph. *A -x + y < 2 -x + y &#8805; -2 *B -x + y > 2 x + y &#8804; -2 *C -x + y > -2 x + y &#

Hi,  

One can tell much about a line according to the slant & y-intercept

For graph http://ppstest2.com/images2/AL7004.jpg

 B would be the correct choice as explained below:

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.  

Below have identified according to the characteristics of the lines themsleves

*A Parallel Lines (slopes equal): Pick that corresponding graph 

   -x + y < 2 OR y < x+2 dotted line on graph

   -x + y ≥ -2   y ≥ x-2 

*B Non-parallel Lines: one with slanting right dotted with y-intercept (0,2) 

   -x + y > 2  OR y > x+2 dotted line on graph, slanting right (m>0)

    x + y ≤ -2 OR y ≤ -x - 2 slants left



*C Non-parallel Lines: one with slanting right dotted with y-intercept (0,-2) 

   -x + y > -2 OR y > x - 2 dotted line slanting right (m>0)

    x + y ≤ 2     y ≤ -x + 2 

*D Non-parallel Lines: one with slanting left dotted with y-intercept (0,2)    

   -x + y ≤ 2  OR y ≤ x + 2  

    x + y < 2     y < -x + 2  dotted line slanting left (m<0)

do recommend looking carefully at the shaded areas on Your graphs, however,

 to best understand systems with inequalities.