Respuesta :

The graphs and their inequalities are

  • Graph 1 ⇒ 3x + 4y > 6
  • Graph 2 ⇒ 2x - 7y ≥ 14
  • Graph 3 ⇒ 3x + 4y < 6
  • Graph 4 ⇒ 7x + 2y ≥ 14

How to match the inequalities?

The inequalities are given as:

2x - 7y ≤ 14

7x + 2y ≥ 14

2x - 7y ≥ 14

3x + 4y < 6

4x - 3y > 6

3x + 4y > 6

To represent the inequalities on a graph, we use the following guides:

  • > uses a dotted line, and the upper parts are shaded
  • < uses a dotted line, and the lower parts are shaded
  • ≥ uses a thick line, and the upper parts are shaded
  • ≤ uses a thick line, and the lower parts are shaded

Using the above as a guide, we have:

Graph 1 ⇒ 3x + 4y > 6

Graph 2 ⇒ 2x - 7y ≥ 14

Graph 3 ⇒ 3x + 4y < 6

Graph 4 ⇒ 7x + 2y ≥ 14

Read more about inequalities at:

https://brainly.com/question/25275758

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