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

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Question 388407: Referring to the figure, match the system of linear inequalities with its graph.
*A. -x + y < 2
-x + y ≥ -2
*B. -x + y > 2
x + y ≤ -2
*C -x + y > -2
x + y ≤ 2
*D -x + y ≤ 2
x + y < 2
Graph is located at the cut & copy link: http://ppstest2.com/images2/AL7002.jpg
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!


Hi,  following posted as answer to A-D

for the graph http://ppstest2.com/images2/AL7002.jpg

A would be the correct choice as explained below:



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

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.  

 

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