Solve the given inequalities graphically by using a calculator. See Example 8. Round all decimals to the

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Solve the given inequalities graphically by using a calculator. See Example 8. Round all decimals to the nearest hundredth.

0.5x3 < 3 − 2x2


Data from Example 8

Use a calculator to solve the inequality x3 > x2 − 3. Finding the equivalent inequality with zero on the right, we have x3 − x2 + 3 > 0. On the calculator, we then let y1 = x3 − x2 + 3 and graph this function, which is shown in Fig. 17.27.

Using the zero feature, we find that the zero of the function is approximately x = −1.17. Because we want values of x that correspond to positive values of y, we see that the solution is x > −1.17.

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Basic Technical Mathematics

ISBN: 9780137529896

12th Edition

Authors: Allyn J. Washington, Richard Evans

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