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What system of linear inequalities is shown in the graph?



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85 points -

What system of linear inequalities is shown in the graph Enter your answers in the boxes 85 points class=

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mhanifa

Answer:

  • y ≥ -1/2x + 2
  • y > 2x - 3

Step-by-step explanation:

Find equations of each line using two points on each and then determine the inequalities.

Line 1

Points

  • (0, 2) and (2, 1)

The slope is:

  • m = (1 - 2)/2 = -1/2

The y -intercept is 2.

The line is:

  • y = -1/2x + 2

The shaded region is to the right and the line is solid, so the inequality is:

  • y ≥ -1/2x + 2

Line 2

Points:

  • (0, -3) and (2, 1)

The slope is:

  • m = (1 - (-3))/2 = 2
  • The y- intercept is -3

The line is:

  • y = 2x - 3

The shaded region is to the left and the line is not solid, so the inequality is:

  • y > 2x - 3

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