Worksheet: Two-Variable Inequalities

In this worksheet, we will practice representing solutions to inequalities in two variables graphically.

Q1:

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

  • A 𝑥 0 , 𝑦 0 , 𝑦 > 6 1 , 2 ( 𝑥 + 𝑦 ) < 1 7 7
  • B 𝑥 0 , 𝑦 0 , 𝑦 < 6 1 , 2 ( 𝑥 + 𝑦 ) < 1 7 7
  • C 𝑥 0 , 𝑦 0 , 𝑦 > 6 1 , 𝑥 + 𝑦 < 1 7 7
  • D 𝑥 0 , 𝑦 0 , 𝑦 6 1 , 2 ( 𝑥 + 𝑦 ) < 1 7 7
  • E 𝑥 0 , 𝑦 0 , 𝑦 6 1 , 𝑥 + 𝑦 > 1 7 7

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