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Question: Which of the following inequalities the boundary line in the graph would be solid?6


A ) 4x + 5y > 3
B ) 5x - 6y < 2
C ) 4x + 5y < 3
D ) 5x + 6y ≥ 2

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 4x + 5y > 3, 5x - 6y < 2 and 4x + 5y < 3 the boundary line of the half-plane is dashed as they contain > and < symbols.

3 For the inequality 5x + 6y ≥ 2 the boundary line of the half-plane is solid as it contains ≥ symbol.



Hence the right answer is Option D

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