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Jackysee · Answer 1 · 2019-06-19T09:49:05+0000

Step 1. Solve both inequalities for

:

$3x+y\ \textgreater \ -3$

$y\ \textgreater \ -3x-3$

$x+2y\ \textless \ 4$

$2y\ \textless \ -x+4$

$y\ \textless \ - (1)/(2) x+2$

Step 2. To check a point in the solution of the given system of inequalities, look for the intercepts of the lines
-3x-3

and

:

(1)

(2)

Replace (1) in (2):

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

Solve for

:

(3)

Replace (3) in (1):

y=-3x-3

We can conclude that the point (-2,3) is in the solution of the system if inequalities; also any point inside the dark shaded area of the graph of the system of inequalities is also a solution of the system.

Which point is in the solution set of the given system of inequalities 3x+y>-3,x-example-1

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