(a)
To find: the system of linear inequalities represented by the shaded region.
(a)
Answer to Problem 34E
Explanation of Solution
Given:
Vertices of triangle:
Concept used:
The difference is that a solution to the inequality is not the drawn line but area of the coordinate plane that satisfy the inequality.
The common area is the solution of inequality.
The boundary line is dashed for
Straight line equation:
Calculation:
The vertices of a triangle are:
The vertices
The inequality joining two points
The inequality joining two points
Hence, the system of inequalities is
(b)
To find: the area of the triangle.
(b)
Answer to Problem 34E
The area of triangle is
Explanation of Solution
Given:
Vertices of triangle:
Concept used:
The difference is that a solution to the inequality is not the drawn line but area of the coordinate plane that satisfy the inequality.
The common area is the solution of inequality.
The boundary line is dashed for
Straight line equation:
Area of triangle is:
Calculation:
The length of the base of the triangle is difference between
The height of the triangle is difference between
The are of triangle is
Applying formula of triangle:
Hence, the area of triangle is
Chapter 5 Solutions
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