Practice Quiz

SAT Math

Category - Algebra and Functions

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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?
xandgt;0
yandgt;0
− x − 4y + 24andgt;0
3x + y − 17andlt;0
  1. 5
  2. 10
  3. 15
  4. 20
  5. 25
Explanation
Answer: D - Twenty ordered pairs are the solutions of the system of inequalities. Solve each ineaquality graphicaly and then compose all graphs into one graph.
xandgt;0,yandgt;0

− x − 4y + 24andgt;0


3x + y − 17andlt;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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