Explanation Given Information: The provided inequalities are 3 x + 2 y ≥ 6 , 2 x − 3 y ≤ 6 , 3 x − 2 y ≥ 0 , x ≥ 0 and y ≥ 0 Graph: Consider the provided inequalities are, 3 x + 2 y ≥ 6 , 2 x − 3 y ≤ 6 , 3 x − 2 y ≥ 0 , x ≥ 0 and y ≥ 0 , Consider the inequality 3 x + 2 y ≥ 6 Assume the equation as, 3 x + 2 y = 6 Now, substitute the values of x in order to get the corresponding values of y and sketch the graph of the line. For x = 0 3 ( 0 ) + 2 y = 6 2 y = 6 y = 3 Therefore, the point is ( 0 , 3 ) For y = 0 3 x + 2 ( 0 ) = 6 3 x = 6 x = 2 Therefore, the point is ( 2 , 0 ) The points for the equation 3 x + 2 y = 6 are as follows: x y ( x , y ) 0 3 ( 0 , 3 ) 2 0 ( 2 , 0 ) The graph of the inequality is as follows: Hence, the boundary points for the equation are ( 2 , 0 ) and ( 0 , 3 ) Consider the inequality 2 x − 3 y ≤ 6 Assume the equation as, 2 x − 3 y = 6 Now, substitute the values of x in order to get the corresponding values of y and sketch the graph of the line. For x = 0 2 ( 0 ) − 3 y = 6 − 3 y = 6 y = − 2 Therefore, the point is ( 0 , − 2 ) For y = 0 2 x − 3 ( 0 ) = 6 2 x = 6 x = 3 Therefore, the point is ( 3 , 0 ) The points for the equation 2 x − 3 y = 6 are as follows: x y ( x , y ) 0 − 2 ( 0 , − 2 ) 3 0 ( 3 , 0 ) The graph of the inequality is as follows: Hence, the boundary points for the equation are ( 3 , 0 ) and ( 0 , − 2 ) Consider the inequality 3 x − 2 y ≥ 0 Assume the equation as, 3 x − 2 y = 0 Now, substitute the values of x in order to get the corresponding values of y and sketch the graph of the line

7th Edition

ISBN: 9781337291262

Author: Stefan Waner, Steven Costenoble

Publisher: Brooks Cole

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Chapter 5, Problem 4RE

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To graph: The inequalities 3x+2y≥6, 2x−3y≤6, 3x−2y≥0, x≥0 and y≥0 and also check whether the region of the inequalities are bounded or unbounded and find the coordinates of all the corner points if possible.

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Chapter 5, Problem 3RE

Chapter 5, Problem 5RE

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Chapter 5 Solutions

Finite Mathematics, Loose-leaf Version

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To graph: The inequalities 3 x + 2 y ≥ 6 , 2 x − 3 y ≤ 6 , 3 x − 2 y ≥ 0 , x ≥ 0 and y ≥ 0 and also check whether the region of the inequalities are bounded or unbounded and find the coordinates of all the corner points if possible.

Solution Summary: The author analyzes the inequality 3x+2yge 6,2x-3y

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To graph: The inequalities 3x+2y≥6, 2x−3y≤6, 3x−2y≥0, x≥0 and y≥0 and also check whether the region of the inequalities are bounded or unbounded and find the coordinates of all the corner points if possible.

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Chapter 5 Solutions