PRECALCULUS:GRAPH...-NASTA ED.(FLORIDA)
10th Edition
ISBN: 9780136174318
Author: Demana
Publisher: PEARSON
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Expert Solution & Answer
Chapter P.7, Problem 21E
Solution
Solve the inequality graphically.
x>0⋅079 or x<−1⋅412
Given:
The inequality is, 9x2+12x−1≥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:
9x2+12x−1≥0
The graph of 9x2+12x−1≥0 is −
0⋅079<x<−1⋅412
Note that the given inequality is true for the values of x>0⋅079 and for the values of x<−1⋅412
Thus, the solution of the given inequality is x>0⋅079 or x<−1⋅412
Interval notation (−∞,
Chapter P Solutions
PRECALCULUS:GRAPH...-NASTA ED.(FLORIDA)
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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