Drag the tiles to the correct boxes to complete the pairs. Match each system of inequalities to the graph representing its solut

Question

2 years ago

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ion set. y − x > 1 and 2x + y ≤ 2 x + y ≥ -3 and 5x – y ≤ -3 2x – y ≤ -1 and x + 2y < 4 4x – 3y < 12 and x + 3y ≥ 6

1 answer:

mojhsa [17] · Answer 1 · 2023-11-12T14:30:59+03:00

The solutions to the systems of inequalities are (0.3, 1.3), (-1, -2), (0.4, 1.8) and (3.6, 0.8)

<h3>How to determine the solution to the systems?</h3>

The graph of the systems of inequalities is not given.

So, I would plot a new graph to answer this question.

The systems of inequalities are given as:

y − x > 1 and 2x + y ≤ 2

x + y ≥ -3 and 5x – y ≤ -3

2x – y ≤ -1 and x + 2y < 4

4x – 3y < 12 and x + 3y ≥ 6

Next, we plot these inequalities on a graph and write out the points of intersection.

From the attached graph, we have:

y − x > 1 and 2x + y ≤ 2 ⇒ (0.3, 1.3)

x + y ≥ -3 and 5x – y ≤ -3 ⇒ (-1, -2)

2x – y ≤ -1 and x + 2y < 4 ⇒ (0.4, 1.8)

4x – 3y < 12 and x + 3y ≥ 6 ⇒ (3.6, 0.8)

Hence, the solutions to the systems of inequalities are (0.3, 1.3), (-1, -2), (0.4, 1.8) and (3.6, 0.8)

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