Question

Which graph shows the solution to the system of inequalities below? x+y<3 -5x+2y<10

Answer 1

Answer:

The common shaded region in the graph, represents the solution to the system of inequalities.

Step-by-step explanation:

The given inequalities are

$x+y$                            .... (1)

$-5x+2y$                     ..... (2)

The related lines of given inequalities are dotted lines, because the sing of inequalities are <.

The related equations of given inequalities are

$x+y=3$                            .... (3)

$-5x+2y=10$                    .... (4)

Find x-intercepts and y-intercepts of related equations.

Put x=0 in equations (3).

$0+y=3$

Put y=0 in equations (3).

$x+0=3$

Therefore the intercepts of equation (3) are (0,3) and (3,0).

Put x=0 in equations (4).

$-5(0)+2y=10$

$y=5$

Put y=0 in equations (4).

$-5x+2(0)=10$

$x=-2$

Therefore the intercepts of equation (3) are (0,5) and (-2,0).

Check the given inequalities by origin.

Put (0,0) in inequality (1),

$0+0$

$0$

Therefore, (0,0) lies in the shaded region of inequality (1).

Put (0,0) in inequality (2),

$-5(0)+2(0)$

$0$

Therefore, (0,0) lies in the shaded region of inequality (2).

The common shaded region in the graph, represents the solution to the system of inequalities.

Answer 2

Answer:

I think its d on edge

Step-by-step explanation: