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Select the graph that represents the system of inequalities below.

Select the graph that represents the system of inequalities below.-example-1
User Kgx
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The given inequalities are


y\leq-(1)/(2)x+3\text{ and }y>(1)/(2)x+1
\text{Substitute x=2 in y=}-(1)/(2)x+3\text{ as follows.}


y=-(1)/(2)(2)+3=-1+3=2

The point is (2,2) lies in the given first inequality.


\text{Substitute x=2 in y=}(1)/(2)x+1\text{ as follows.}


y=(1)/(2)(2)+1=1+1=2

The point is (2,2) lies in the given second inequality.

Hence the point of intersection is (2,2).

Option D is the only graph that shows the point of intersection is (2,2).

Select the graph that represents the system of inequalities below.-example-1
User Matt Boehm
by
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