The solution set of the inequality ax+by <c is,
Correct answer: B. Open half plane
- A. Circle
- B. Open half plane
- C. Parabola
- D. Plane
Explanation
The solution set of the inequality \(ax + by < c\) is an open half plane. In a twodimensional coordinate system, this inequality represents a region of the plane that lies on one side of the line defined by the equation \(ax + by = c\), excluding the points on the line itself. Depending on the signs of \(a\) and \(b\), the half plane can be above, below, to the left, or to the right of the line.
Last updated
About Linear Equations
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.
Practise Algebra
269 free Algebra MCQs from Mathematics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Exams that ask Mathematics questions like this
Mathematics is on 67 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.