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Systems of inequalities: where two regions overlap — Homework

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Systems of inequalities: where two regions overlap — Homework

Test each point against the system, and set up the requested systems from their descriptions.

  1. 1.Is (1, 1) a solution to y < 2x + 5 and y > -x?
  2. 2.Is (0, 0) a solution to x + y ≥ 4 and x ≤ 6?
  3. 3.Where do the boundary lines y = x + 2 and y = -x + 6 cross?
  4. 4.A field trip allows at most 30 people total (x = chaperones, y = students), with at least 1 chaperone per 8 students. Write both inequalities.
  5. 5.Using that system, are 3 chaperones and 25 students feasible?
  6. 6.Why does the solution to a system of inequalities usually look like a region instead of a single point?
🌲 Homeschool for the FutureNinth Grade · Math · week 16 homework