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2 votes
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

User VividD
by
6.4k points

2 Answers

4 votes

Answer:

Graph B is the answer.

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.

User Zeugma
by
6.8k points
4 votes
This one.

The doubly-shaded area is the solution set. The dashed line is not included.
Which graph represents the solution set for the system 6x + y > -3 and 2x + y ≤ 4? GRAPH-example-1
User S B
by
6.0k points