Explanation The given linear equation is, x + 3 y ≥ − 2 Since the given inequality is ≥ , the points on the line satisfy the inequality. Hence, the solid line is used to join the coordinates of the inequality. Now, replace the inequality symbol in the given equation with an “equals” sign. Then, the equation becomes, x + 3 y = − 2 . Step 1: Obtain any 2 coordinates from the above equation to draw the line. Consider x = 0 , − 2 and obtain corresponding values of y . Substitute x = 0 in the linear equation x + 3 y = − 2 , 0 + 3 y = − 2 y = − 2 3 The value of y is − 2 3 when x = 0 . Thus, the first coordinate is ( 0 , − 2 3 ) . Substitute x = − 2 in the linear equation x + 3 y = − 2 , − 2 + 3 y = − 2 3 y = 0 y = 0 The value of y is 0 when x = − 2

Finite Mathematics and Calculus with Applications

1st Edition

ISBN: 9781323188361

Author: Margaret Lial

Publisher: Pearson Education

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Chapter 3.1, Problem 9E

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To sketch: The graph of the linear inequality x+3y≥−2 .

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Chapter 3.1, Problem 8E

Chapter 3.1, Problem 10E

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Consider the graphs of y = f(x) and y = g(x) in the given diagram y= f(x). y = g(x) Evaluate (f+g)(2) -5 Determine all for which g(x) < f(x) Determine all for which f(x) +3 = g(x)

I) For what value(s) of x does g(x) = -4? Separate multiple answers with commas as needed. J) Give the interval(s) of such that g(x) > 0. Use the union symbol between multiple intervals. K) Give the interval(s) of such that g(x) <0. Use the union symbol between multiple intervals.

need help on B

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Finite Mathematics and Calculus with Applications

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The graph of the linear inequality x + 3 y ≥ − 2 .

Solution Summary: The author illustrates the linear inequality x+3yge -2. The solid line is used to join the coordinates of the inequality.

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To sketch: The graph of the linear inequality x+3y≥−2 .

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Chapter 3 Solutions