Question

Graph the solution for the following system of inequalities. Click on the graph until the correct solution is displayed. x + y &gt; 3 x + y < -4

Answer 1

Answer:

This is an equation. Solutions: x=1.

Answer 2

Answer:

The graph for the following system of inequalities is attached below.

Step-by-step explanation:

The given system of inequalities is

$x+y>3$                    .... (1)

$x+y$                  .... (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

$x+y=3$

Put x=0 to find the y-intercept.

$0+y=3\Rightarrow y=3$

The y-intercept is 3.

Put y=0 to find the x-intercept.

$x+0=3\Rightarrow x=3$

The x-intercept is 3.

The related equation of second inequality is

$x+y=-4$

Put x=0 to find the y-intercept.

$0+y=-4\Rightarrow y=-4$

The y-intercept is -4.

Put y=0 to find the x-intercept.

$x+0=-4\Rightarrow x=-4$

The x-intercept is -4.

The related lines are dotted line because the sign of inequalities are > and <.

Check each inequality be (0,0).

$0+0>3$

$0>3$

This statement is false. So the shaded region of first inequality is opposite sides of the origin.

$0+0$  

$0$  

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.