Which graph represents the solution set for the system 6x + y > -3 and 2x + y ≤ 4?


GRAPH A:
https://cdn.ple.platoweb.com/EdAssets/569ffaae985e4d30af1d47501f6a3071?ts=635295994038270000
GRAPH B:
https://cdn.ple.platoweb.com/EdAssets/a0685f1258de4321b8ad526cba13ea68?ts=635295994033270000
GRAPH C:
https://cdn.ple.platoweb.com/EdAssets/7a8269a9613f472e9fd34597d3a0185c?ts=635295994031070000
GRAPH D:
https://cdn.ple.platoweb.com/EdAssets/9886daa9d6944ccd91d245f0d522c20a?ts=635295994027500000

Respuesta :

This one.

The doubly-shaded area is the solution set. The dashed line is not included.
Ver imagen sqdancefan

Answer:

Graph B is the answer.

Step-by-step explanation:

We know that both functions are inequalities, however,

The second one (red on the graph) has 'less or equal sign, ≤' meaning that, the line of the function is included as shown on graph B with a continuous line.

The first one has a 'greater than, >' meaning that the line of the function is not included, therefore the line is a dotted line, as shown on graph B.

The shaded area must be between the two inequalities because that where the X's can be met.

Therefore, the answer is graph B.