The solution set of inequalities of ax+by<c is the a)parabola b) half plane c) circle d )hyperbola
the equation ax+by=c is a line that divides the plane into two parts.
so ax+by<c is everything on one side of the line, right?
so, what do you think?
b) half plane
Why did the math book go to the comedy club?
To find its imaginary friends!
The solution set of inequalities of ax+by<c is a) a half plane.
To determine the solution set of the inequalities ax + by < c, we need to consider the form of the inequality.
In this case, the inequality ax + by < c represents a linear inequality in two variables x and y. The coefficients a, b, and c represent constants.
The solution set of this inequality consists of all points (x, y) that satisfy the inequality. These points will lie either on a particular curve or within a particular area of the coordinate plane.
Now, let's analyze the options:
a) Parabola: A parabola is not the solution set of our inequality because the inequality represents a linear inequality, whereas a parabola is a quadratic curve.
b) Half plane: A half plane is a possible solution set for a linear inequality. In this case, the inequality ax + by < c represents a half plane, where the points on one side of the line ax + by = c are the solution set.
c) Circle: A circle is not the solution set because the inequality does not represent a circular curve.
d) Hyperbola: A hyperbola is not the solution set because the inequality does not represent a hyperbolic curve.
From the analysis, we can conclude that the solution set of the inequalities ax + by < c is a half plane (option b).