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Worksheet: Inequalities in Two Variables

Q1:

A shepherd wants to build a rectangular sheep barn, and the graph represents the relation between the dimensions of the needed barn, where π‘₯ represents the width and 𝑦 represents the length. State the system of inequalities that describes the dimensions of the barn.

  • A π‘₯ β‰₯ 0 , 𝑦 β‰₯ 0 , 𝑦 > 6 1 , 2 ( π‘₯ + 𝑦 ) < 1 7 7
  • B π‘₯ β‰₯ 0 , 𝑦 β‰₯ 0 , 𝑦 < 6 1 , 2 ( π‘₯ + 𝑦 ) < 1 7 7
  • C π‘₯ β‰₯ 0 , 𝑦 β‰₯ 0 , 𝑦 > 6 1 , π‘₯ + 𝑦 < 1 7 7
  • D π‘₯ β‰₯ 0 , 𝑦 β‰₯ 0 , 𝑦 β‰₯ 6 1 , 2 ( π‘₯ + 𝑦 ) < 1 7 7
  • E π‘₯ β‰₯ 0 , 𝑦 β‰₯ 0 , 𝑦 β‰₯ 6 1 , π‘₯ + 𝑦 > 1 7 7