Question

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

Answer 1

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.

Answer 2

This one.

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