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5 votes
Which of the following will be the solution for a two-order inequality?

A point
A line
A half-plane
The intersection of two half-planes

2 Answers

3 votes
The intersection of two half planes 
User Airush
by
8.1k points
3 votes
In solving a two-order linear inequality, say


y>m_1 x and
y \ge m_2 x +c

We graph the corresponding linear equations;


\left \{ {{y=m_1 x} \atop {y= m_2 x+c}} \right.

Each of the two equations divides the cartesian plane into half-planes.

By testing for points, we identify the half-plane that satisfies each inequality.

The intersection of the two half-planes gives us a set of points that satisfies the two inequalities simultaneously.

Therefore the solution to the two-order inequality is the intersection of two half-planes.

The correct answer is option C
Which of the following will be the solution for a two-order inequality? A point A-example-1
User Fahad Anjum
by
7.5k points

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