The graph of inequality 3x+2y>3 is.
Correct answer: B. open half plane
- A. closed half plane
- B. open half plane
- C. line only
- D. full plane
Explanation
The graph of the inequality \(3x + 2y > 3\) represents an open half plane. In this case, the inequality is not inclusive of the boundary line \(3x + 2y = 3\), meaning that the points on this line are not solutions. Therefore, the region above the boundary line, not including the line itself, forms the open half plane.
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Linear equations contain variables only to the first power and produce straight-line relationships when represented graphically. Problems involve solving equations with brackets, fractions, and variables on both sides, forming equations from statements, and handling simultaneous linear equations, which differ from quadratic equations by having no squared variable.
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