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The graph of the inequalities ax+by sc, ax+by zc are

Correct answer: B. closed half planes

  • A. open half planes
  • B. closed half planes
  • C. open and closed half planes
  • D. None

Explanation

The graph of the inequalities \(ax + by \leq c\) and \(ax + by \geq c\) represent closed half planes. When the inequality is of the form \(ax + by \leq c\), it represents a closed half plane including the boundary line (the line represented by \(ax + by = c\)). Similarly, when the inequality is of the form \(ax + by \geq c\), it also represents a closed half plane including the boundary line.

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