PRECALCULUS:GRAPHICAL,...-NASTA ED.
PRECALCULUS:GRAPHICAL,...-NASTA ED.
10th Edition
ISBN: 9780134672090
Author: Demana
Publisher: PEARSON
Expert Solution & Answer
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Chapter P.7, Problem 19E
Solution

Solve the inequality graphically.

  x>1⋅33 or x<−0⋅5

Given:

The inequality is, 6x2−5x−4>0

Concept Used:

  • The relationship between two values that are not equal is defined by inequalities.
  • Inequality means not equal.
  • Generally, if two values are not equal, we use “not equal symbol (?)”. But to compare the values, whether it is less than or greater than, different inequalities are used.
  • Factorization is the process of reducing the bracket of a quadratic equation, instead of expanding the bracket and converting the equation to a product of factors which cannot be reduced further. 

Calculation:

  6x2−5x−4>0

The graph of 6x2−5x−4>0 is −

  PRECALCULUS:GRAPHICAL,...-NASTA ED., Chapter P.7, Problem 19E

  1⋅33<x<−0⋅5

Note that the given inequality is true for the values of x>1⋅33 and for the values of x<−0⋅5

Thus, the solution of the given inequality is x>1⋅33 or x<−0⋅5

Interval notation (−∞,−0⋅5)∪(1⋅33,∞)

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Chapter P.7, Problem 18E
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Chapter P.7, Problem 20E

Chapter P Solutions

PRECALCULUS:GRAPHICAL,...-NASTA ED.

Ch. P.1 - Prob. 1QRCh. P.1 - Prob. 2QRCh. P.1 - Prob. 3QRCh. P.1 - Prob. 4QRCh. P.1 - Prob. 5QRCh. P.1 - Prob. 6QRCh. P.1 - Prob. 7QRCh. P.1 - Prob. 8QRCh. P.1 - Prob. 9QRCh. P.1 - Prob. 10QR
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