MATH SOLVE

3 months ago

Q:
# Graph the solution for the following system of inequalities. Click on the graph until the correct solution is displayed. x + y > 3 x + y < -4

Accepted Solution

A:

Answer:The graph for the following system of inequalities is attached below.Step-by-step explanation:The given system of inequalities is[tex]x+y>3[/tex] .... (1)[tex]x+y<-4[/tex] .... (2)From inequality (1) and (2) it is clear that (x+y) is greater than 3 adn 3 is not less than -4. So, the given system of inequality has no feasible reason or solution.The related equation of first inequality is[tex]x+y=3[/tex]Put x=0 to find the y-intercept.[tex]0+y=3\Rightarrow y=3[/tex]The y-intercept is 3.Put y=0 to find the x-intercept.[tex]x+0=3\Rightarrow x=3[/tex]The x-intercept is 3.The related equation of second inequality is[tex]x+y=-4[/tex]Put x=0 to find the y-intercept.[tex]0+y=-4\Rightarrow y=-4[/tex]The y-intercept is -4.Put y=0 to find the x-intercept.[tex]x+0=-4\Rightarrow x=-4[/tex]The x-intercept is -4.The related lines are dotted line because the sign of inequalities are > and <.Check each inequality be (0,0).[tex]0+0>3[/tex][tex]0>3[/tex]This statement is false. So the shaded region of first inequality is opposite sides of the origin.[tex]0+0<-4[/tex] [tex]0<-4[/tex] This statement is false. So the shaded region of first inequality is opposite sides of the origin.The graph for the following system of inequalities is attached below.