Explanation Given: The given inequality is 4 x 2 < 2 x + 3 . Formula used: Quadratic formula: The root of the quadratic equation a x 2 + b x + c = 0 is given by; x = − b ± b 2 − 4 a c 2 a Calculation: Solve the given inequality as: 4 x 2 < 2 x + 3 4 x 2 − 2 x − 3 < 0 Since, factorization of the given quadratic equation is not possible, use quadratic formula to find the boundary points as: x = − ( − 2 ) ± ( − 2 ) 2 − 4 ( 4 ) ( − 3 ) 2 ( 4 ) = 2 ± 4 + 48 8 = 2 ± 52 8 = 1 4 ± 13 4 Now, use calculator to find the nearest possible boundary of x as: x = 0.25 + 13 4 = 0.25 + 0.90 = 1.15 And, x = 1 4 − 13 4 = 0.25 − 0.90 = − 0.65 Divide the number line with the help of this boundary points. This gives;

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ISBN: 9780134178967

Author: John Tobey Jr., Jeffrey Slater, Jamie Blair, Jenny Crawford

Publisher: PEARSON

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Chapter 8.6, Problem 24E

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To calculate: The given quadratic inequalities 4x2<2x+3 if possible and round of the answer to nearest tenth.

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Chapter 8.6, Problem 23E

Chapter 8.6, Problem 25E

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The given quadratic inequalities 4 x 2 < 2 x + 3 if possible and round of the answer to nearest tenth.

Solution Summary: The author calculates the given quadratic inequalities by rounding the answer to the nearest tenth.

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To calculate: The given quadratic inequalities 4x2<2x+3 if possible and round of the answer to nearest tenth.

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Chapter 8 Solutions

The given quadratic inequalities 4 x 2 &lt; 2 x + 3 if possible and round of the answer to nearest tenth.

Solution Summary: The author calculates the given quadratic inequalities by rounding the answer to the nearest tenth.

Videos

To calculate: The given quadratic inequalities 4x2<2x+3 if possible and round of the answer to nearest tenth.

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Chapter 8 Solutions

The given quadratic inequalities 4 x 2 < 2 x + 3 if possible and round of the answer to nearest tenth.