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Question 388403: 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
Figure is located at this cut and copy link: http://ppstest2.com/images2/AL7001.jpg
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!
Hi, following posted as answer to A - D
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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