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Question: Which of the following inequalities the boundary line in the graph would be dashed?


A ) 9x + 10y ≤ 3
B ) 9x - y ≥ 3
C ) x + 9y ≤ 3
D ) 9x + y > 3

Steps to derive

1 The boundary line of the half-plane is dashed if the inequality is < or > and solid if the inequality is ≤ or ≥.

2 For the inequalities 9x - y ≥ 3, 9x + 10y ≤ 3 and x + 9y ≤ 3 the boundary line of the half-plane is solid as they contain ≥ and ≤ symbols.

3 For the inequality 9x + y > 3 the boundary line of the half-plane is dashed as it contains > symbol.



Hence the right answer is Option D

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