Answer: D - Twenty ordered pairs are the solutions of the system of inequalities. Solve each inequality graphically and then compose all graphs into one graph.x>0,y>0 − x − 4y + 24>0 3x + y − 17<0 The solution of the system of inequalities is shown below. Blue points have integers for coordinates. There are 20 such points.

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Category - Math

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If x and y are integers, how many ordered pairs (x,y) are the solutions of the system of linear inequalities?
x>0
y>0
− x − 4y + 24>0
3x + y − 17<0

Explanation

Answer: D - Twenty ordered pairs are the solutions of the system of inequalities. Solve each inequality graphically and then compose all graphs into one graph.
x>0,y>0

− x − 4y + 24>0

3x + y − 17<0

The solution of the system of inequalities is shown below.

Blue points have integers for coordinates. There are 20 such points.

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