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Linear inequalities: shading a half-plane — Homework

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Linear inequalities: shading a half-plane — Homework

For each inequality, state solid or dashed, then test the given point.

  1. 1.Is the boundary solid or dashed for y ≥ 3x - 1?
  2. 2.Test (0, 0) in y < 4x - 2. Does it satisfy the inequality?
  3. 3.Is (2, 5) a solution to y ≤ 2x + 3?
  4. 4.Is (1, 6) a solution to y > 5x?
  5. 5.Write the inequality for a dashed line through (0, 2) with slope 3, shading above the line.
  6. 6.Explain in your own words why we use a dashed line instead of a solid one for < or >.
🌲 Homeschool for the FutureNinth Grade · Math · week 15 homework