Explanation The given inequality is ( x − 2 ) 3 ≥ − 2 . Take cube root on both sides to simplify further and obtain the value of x . ( x − 2 ) 3 3 ≥ − 2 3 x − 2 ≥ − 1.259 x ≥ − 1.259 + 2 x ≥ 0.74 Therefore, the value of x is x ≥ 0.74 . Use the online graphing calculator to graph the functions y = ( x − 2 ) 3 and y = − 2 as shown below in Figure 1

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Chapter 4.4, Problem 36E

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Chapter 4.4, Problem 35E

Chapter 4.4, Problem 37E

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EBK COLLEGE ALG.IN CONTEXT W/APPL.F/MAN

Ch. 4.1 - In Exercises 116, (a) sketch the graph of each...Ch. 4.1 - In Exercises 116, (a) sketch the graph of each...Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - In Exercises 116, (a) sketch the graph of each...Ch. 4.1 - Prob. 7E Ch. 4.1 - Prob. 8E Ch. 4.1 - Prob. 9E Ch. 4.1 - Prob. 10E

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The inequality ( x − 2 ) 3 ≥ − 2 algebraically and by graphically.

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