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 27E
Solution

Solve the cubic inequality graphically.

  2077x0167orx1911

Given:

The inequality is, 3x312x+20

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:

  3x312x+20

The graph of 3x312x+20 is −

  PRECALCULUS:GRAPHICAL,...-NASTA ED., Chapter P.7, Problem 27E

  2077x0167orx1911

Note that the given inequality is true for the values of 2077x0167 and for the values of x1911

Thus, the solution of the given inequality is 2077x0167orx1911

Interval notation [2077,0167][1911,)

Chapter P Solutions

PRECALCULUS:GRAPHICAL,...-NASTA ED.

Ch. P.1 - Prob. 1ECh. P.1 - Prob. 2ECh. P.1 - Prob. 3ECh. P.1 - Prob. 4ECh. P.1 - Prob. 5ECh. P.1 - Prob. 6ECh. P.1 - Prob. 7ECh. P.1 - Prob. 8ECh. P.1 - Prob. 9ECh. P.1 - Prob. 10ECh. P.1 - Prob. 11ECh. P.1 - Prob. 12ECh. P.1 - Prob. 13ECh. P.1 - Prob. 14ECh. P.1 - Prob. 15ECh. P.1 - Prob. 16ECh. P.1 - Prob. 17ECh. P.1 - Prob. 18ECh. P.1 - Prob. 19ECh. P.1 - Prob. 20ECh. P.1 - Prob. 21ECh. P.1 - Prob. 22ECh. P.1 - Prob. 23ECh. P.1 - Prob. 24ECh. P.1 - Prob. 25ECh. P.1 - Prob. 26ECh. P.1 - Prob. 27ECh. P.1 - Prob. 28ECh. P.1 - Prob. 29ECh. P.1 - Prob. 30ECh. P.1 - Prob. 31ECh. P.1 - Prob. 32ECh. P.1 - Prob. 33ECh. P.1 - Prob. 34ECh. P.1 - Prob. 35ECh. P.1 - Prob. 36ECh. P.1 - Prob. 37ECh. P.1 - Prob. 38ECh. P.1 - Prob. 39ECh. P.1 - Prob. 40ECh. P.1 - Prob. 41ECh. P.1 - Prob. 42ECh. P.1 - Prob. 43ECh. P.1 - Prob. 44ECh. P.1 - Prob. 45ECh. P.1 - Prob. 46ECh. P.1 - Prob. 47ECh. P.1 - In Exercises 4752, simplify the expression. Assume...Ch. P.1 - In Exercises 4752, simplify the expression. Assume...Ch. P.1 - Prob. 50ECh. P.1 - Prob. 51ECh. P.1 - Prob. 52ECh. P.1 - Prob. 53ECh. P.1 - Prob. 54ECh. P.1 - Prob. 55ECh. P.1 - Prob. 56ECh. P.1 - Prob. 57ECh. P.1 - Prob. 58ECh. P.1 - Prob. 59ECh. P.1 - Prob. 60ECh. P.1 - Prob. 61ECh. P.1 - Prob. 62ECh. P.1 - Prob. 63ECh. P.1 - In Exercises 63 and 64, use scientific notation to...Ch. P.1 - Prob. 65ECh. P.1 - Prob. 66ECh. P.1 - Prob. 67ECh. P.1 - Prob. 68ECh. P.1 - Prob. 69ECh. P.1 - Prob. 70ECh. P.1 - Prob. 71ECh. P.1 - Prob. 72ECh. P.1 - Prob. 73ECh. P.1 - Prob. 74ECh. P.1 - Prob. 75ECh. P.1 - Prob. 76ECh. P.2 - Prob. 1QRCh. P.2 - Prob. 2QRCh. P.2 - Prob. 3QRCh. P.2 - Prob. 4QRCh. P.2 - Prob. 5QRCh. P.2 - Prob. 6QRCh. P.2 - Prob. 7QRCh. P.2 - Prob. 8QRCh. P.2 - Prob. 9QRCh. P.2 - Prob. 10QRCh. P.2 - Prob. 1ECh. P.2 - Prob. 2ECh. P.2 - Prob. 3ECh. P.2 - Prob. 4ECh. P.2 - Prob. 5ECh. P.2 - Prob. 6ECh. P.2 - Prob. 7ECh. P.2 - Prob. 8ECh. P.2 - Prob. 9ECh. P.2 - Prob. 10ECh. P.2 - Prob. 11ECh. P.2 - Prob. 12ECh. P.2 - Prob. 13ECh. P.2 - Prob. 14ECh. P.2 - Prob. 15ECh. P.2 - Prob. 16ECh. P.2 - Prob. 17ECh. P.2 - Prob. 18ECh. P.2 - Prob. 19ECh. P.2 - Prob. 20ECh. P.2 - Prob. 21ECh. P.2 - Prob. 22ECh. P.2 - Prob. 23ECh. P.2 - Prob. 24ECh. P.2 - Prob. 25ECh. P.2 - Prob. 26ECh. P.2 - Prob. 27ECh. P.2 - Prob. 28ECh. P.2 - Prob. 29ECh. P.2 - Prob. 30ECh. P.2 - Prob. 31ECh. P.2 - Prob. 32ECh. P.2 - Prob. 33ECh. P.2 - Prob. 34ECh. P.2 - Prob. 35ECh. P.2 - Prob. 36ECh. P.2 - Prob. 37ECh. P.2 - Prob. 38ECh. P.2 - Prob. 39ECh. P.2 - Prob. 40ECh. P.2 - Prob. 41ECh. P.2 - Prob. 42ECh. P.2 - Prob. 43ECh. P.2 - Prob. 44ECh. P.2 - Prob. 45ECh. P.2 - Prob. 46ECh. P.2 - Prob. 47ECh. P.2 - Prob. 48ECh. P.2 - Prob. 49ECh. P.2 - Prob. 50ECh. P.2 - Prob. 51ECh. P.2 - Prob. 52ECh. P.2 - Prob. 53ECh. P.2 - Prob. 54ECh. P.2 - Prob. 55ECh. P.2 - Prob. 56ECh. P.2 - Prob. 57ECh. P.2 - Prob. 58ECh. P.2 - Prob. 59ECh. P.2 - Prob. 60ECh. P.2 - Prob. 61ECh. P.2 - Prob. 62ECh. 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P.3 - Prob. 36ECh. P.3 - Prob. 37ECh. P.3 - Prob. 38ECh. P.3 - Prob. 39ECh. P.3 - Prob. 40ECh. P.3 - Prob. 41ECh. P.3 - Prob. 42ECh. P.3 - Prob. 43ECh. P.3 - Prob. 44ECh. P.3 - Prob. 45ECh. P.3 - Prob. 46ECh. P.3 - Prob. 47ECh. P.3 - Prob. 48ECh. P.3 - Prob. 49ECh. P.3 - Prob. 50ECh. P.3 - Prob. 51ECh. P.3 - Prob. 52ECh. P.3 - Prob. 53ECh. P.3 - Prob. 54ECh. P.3 - Prob. 55ECh. P.3 - Prob. 56ECh. P.3 - Prob. 57ECh. P.3 - Prob. 58ECh. P.3 - Prob. 59ECh. P.3 - Prob. 60ECh. P.3 - Prob. 61ECh. P.3 - Prob. 62ECh. P.3 - Prob. 63ECh. P.3 - Prob. 64ECh. P.3 - Prob. 65ECh. P.3 - Prob. 66ECh. P.3 - Prob. 67ECh. P.3 - Prob. 68ECh. P.3 - Prob. 69ECh. P.3 - Prob. 70ECh. P.3 - Prob. 71ECh. P.3 - Prob. 72ECh. P.3 - Prob. 73ECh. P.4 - Prob. 1QRCh. P.4 - Prob. 2QRCh. P.4 - Prob. 3QRCh. P.4 - Prob. 4QRCh. P.4 - Prob. 5QRCh. P.4 - Prob. 6QRCh. P.4 - Prob. 7QRCh. P.4 - Prob. 8QRCh. P.4 - Prob. 9QRCh. P.4 - Prob. 10QRCh. P.4 - Prob. 1ECh. P.4 - Prob. 2ECh. P.4 - Prob. 3ECh. P.4 - Prob. 4ECh. P.4 - Prob. 5ECh. P.4 - Prob. 6ECh. P.4 - Prob. 7ECh. P.4 - Prob. 8ECh. P.4 - Prob. 9ECh. P.4 - Prob. 10ECh. P.4 - Prob. 11ECh. P.4 - Prob. 12ECh. P.4 - Prob. 13ECh. P.4 - Prob. 14ECh. P.4 - Prob. 15ECh. P.4 - Prob. 16ECh. P.4 - Prob. 17ECh. P.4 - Prob. 18ECh. P.4 - Prob. 19ECh. P.4 - Prob. 20ECh. P.4 - Prob. 21ECh. P.4 - Prob. 22ECh. P.4 - Prob. 23ECh. P.4 - Prob. 24ECh. P.4 - Prob. 25ECh. P.4 - Prob. 26ECh. P.4 - Prob. 27ECh. P.4 - Prob. 28ECh. P.4 - Prob. 29ECh. P.4 - Prob. 30ECh. P.4 - Prob. 31ECh. P.4 - Prob. 32ECh. P.4 - Prob. 33ECh. P.4 - Prob. 34ECh. P.4 - Prob. 35ECh. P.4 - Prob. 36ECh. P.4 - Prob. 37ECh. P.4 - Prob. 38ECh. P.4 - Prob. 39ECh. P.4 - Prob. 40ECh. P.4 - Prob. 41ECh. P.4 - Prob. 42ECh. P.4 - Prob. 43ECh. P.4 - Prob. 44ECh. P.4 - Prob. 45ECh. P.4 - Prob. 46ECh. P.4 - Prob. 47ECh. P.4 - Prob. 48ECh. P.4 - Prob. 49ECh. P.4 - Prob. 50ECh. P.4 - Prob. 51ECh. P.4 - Prob. 52ECh. P.4 - Prob. 53ECh. P.4 - Prob. 54ECh. P.4 - Prob. 55ECh. P.4 - Prob. 56ECh. P.4 - Prob. 57ECh. P.4 - Prob. 58ECh. P.4 - Prob. 59ECh. P.4 - Prob. 60ECh. P.4 - Prob. 61ECh. P.4 - Prob. 62ECh. P.4 - Prob. 63ECh. P.4 - Prob. 64ECh. P.4 - Prob. 65ECh. P.4 - Prob. 66ECh. P.4 - Prob. 67ECh. P.4 - Prob. 68ECh. P.4 - Prob. 69ECh. P.4 - Prob. 70ECh. P.4 - Prob. 71ECh. P.5 - Prob. 1QRCh. P.5 - Prob. 2QRCh. P.5 - Prob. 3QRCh. P.5 - Prob. 4QRCh. P.5 - Prob. 5QRCh. P.5 - Prob. 6QRCh. P.5 - Prob. 7QRCh. P.5 - Prob. 8QRCh. P.5 - Prob. 9QRCh. P.5 - Prob. 10QRCh. P.5 - Prob. 1ECh. P.5 - Prob. 2ECh. P.5 - Prob. 3ECh. P.5 - Prob. 4ECh. P.5 - Prob. 5ECh. P.5 - Prob. 6ECh. P.5 - Prob. 7ECh. P.5 - Prob. 8ECh. P.5 - Prob. 9ECh. P.5 - Prob. 10ECh. P.5 - Prob. 11ECh. P.5 - Prob. 12ECh. P.5 - Prob. 13ECh. P.5 - Prob. 14ECh. P.5 - Prob. 15ECh. P.5 - Prob. 16ECh. P.5 - Prob. 17ECh. P.5 - Prob. 18ECh. P.5 - Prob. 19ECh. P.5 - Prob. 20ECh. P.5 - Prob. 21ECh. P.5 - Prob. 22ECh. P.5 - Prob. 23ECh. P.5 - Prob. 24ECh. P.5 - Prob. 25ECh. P.5 - Prob. 26ECh. P.5 - Prob. 27ECh. P.5 - Prob. 28ECh. P.5 - Prob. 29ECh. P.5 - Prob. 30ECh. P.5 - Prob. 31ECh. P.5 - Prob. 32ECh. P.5 - Prob. 33ECh. P.5 - Prob. 34ECh. P.5 - Prob. 35ECh. P.5 - Prob. 36ECh. P.5 - Prob. 37ECh. P.5 - Prob. 38ECh. P.5 - Prob. 39ECh. P.5 - Prob. 40ECh. P.5 - Prob. 41ECh. P.5 - Prob. 42ECh. P.5 - Prob. 43ECh. P.5 - Prob. 44ECh. P.5 - Prob. 45ECh. P.5 - Prob. 46ECh. P.5 - Prob. 47ECh. P.5 - Prob. 48ECh. P.5 - Prob. 49ECh. P.5 - Prob. 50ECh. P.5 - Prob. 51ECh. P.5 - Prob. 52ECh. P.5 - Prob. 53ECh. P.5 - Prob. 54ECh. P.5 - Prob. 55ECh. P.5 - Prob. 56ECh. P.5 - Prob. 57ECh. P.5 - Prob. 58ECh. P.5 - Prob. 59ECh. P.5 - Prob. 60ECh. P.5 - Prob. 61ECh. P.5 - Prob. 62ECh. P.5 - Prob. 63ECh. P.5 - Prob. 64ECh. P.5 - Prob. 65ECh. P.5 - Prob. 66ECh. P.5 - Prob. 67ECh. P.5 - Prob. 68ECh. P.5 - Prob. 69ECh. P.5 - Prob. 70ECh. P.5 - Prob. 71ECh. P.6 - Prob. 1QRCh. P.6 - Prob. 2QRCh. P.6 - Prob. 3QRCh. P.6 - Prob. 4QRCh. P.6 - Prob. 5QRCh. P.6 - Prob. 6QRCh. P.6 - Prob. 7QRCh. P.6 - Prob. 8QRCh. P.6 - Prob. 9QRCh. P.6 - Prob. 10QRCh. P.6 - Prob. 1ECh. P.6 - Prob. 2ECh. P.6 - Prob. 3ECh. P.6 - Prob. 4ECh. P.6 - Prob. 5ECh. P.6 - Prob. 6ECh. P.6 - Prob. 7ECh. P.6 - Prob. 8ECh. P.6 - Prob. 9ECh. P.6 - Prob. 10ECh. P.6 - Prob. 11ECh. P.6 - Prob. 12ECh. P.6 - Prob. 13ECh. P.6 - Prob. 14ECh. P.6 - Prob. 15ECh. P.6 - Prob. 16ECh. P.6 - Prob. 17ECh. P.6 - Prob. 18ECh. P.6 - Prob. 19ECh. P.6 - Prob. 20ECh. P.6 - Prob. 21ECh. P.6 - Prob. 22ECh. P.6 - Prob. 23ECh. P.6 - Prob. 24ECh. P.6 - Prob. 25ECh. P.6 - Prob. 26ECh. P.6 - Prob. 27ECh. P.6 - Prob. 28ECh. P.6 - Prob. 29ECh. P.6 - Prob. 30ECh. P.6 - Prob. 31ECh. P.6 - Prob. 32ECh. P.6 - Prob. 33ECh. P.6 - Prob. 34ECh. P.6 - Prob. 35ECh. P.6 - Prob. 36ECh. P.6 - Prob. 37ECh. P.6 - Prob. 38ECh. P.6 - Prob. 39ECh. P.6 - Prob. 40ECh. P.6 - Prob. 41ECh. P.6 - Prob. 42ECh. P.6 - Prob. 43ECh. P.6 - Prob. 44ECh. P.6 - Prob. 45ECh. P.6 - Prob. 46ECh. P.6 - Prob. 47ECh. P.6 - Prob. 48ECh. P.6 - Prob. 49ECh. P.6 - Prob. 50ECh. P.6 - Prob. 51ECh. P.6 - Prob. 52ECh. P.6 - Prob. 53ECh. P.6 - Prob. 54ECh. P.6 - Prob. 55ECh. P.6 - Prob. 56ECh. P.6 - Prob. 57ECh. P.7 - Prob. 1QRCh. P.7 - Prob. 2QRCh. P.7 - Prob. 3QRCh. P.7 - Prob. 4QRCh. P.7 - Prob. 5QRCh. P.7 - Prob. 6QRCh. P.7 - Prob. 7QRCh. P.7 - Prob. 8QRCh. P.7 - Prob. 9QRCh. P.7 - Prob. 10QRCh. P.7 - Prob. 1ECh. P.7 - Prob. 2ECh. P.7 - Prob. 3ECh. P.7 - Prob. 4ECh. P.7 - Prob. 5ECh. P.7 - Prob. 6ECh. P.7 - Prob. 7ECh. P.7 - Prob. 8ECh. P.7 - Prob. 9ECh. P.7 - Prob. 10ECh. P.7 - Prob. 11ECh. P.7 - Prob. 12ECh. P.7 - Prob. 13ECh. P.7 - Prob. 14ECh. P.7 - Prob. 15ECh. P.7 - Prob. 16ECh. P.7 - Prob. 17ECh. P.7 - Prob. 18ECh. P.7 - Prob. 19ECh. P.7 - Prob. 20ECh. P.7 - Prob. 21ECh. P.7 - Prob. 22ECh. P.7 - Prob. 23ECh. P.7 - Prob. 24ECh. P.7 - Prob. 25ECh. P.7 - Prob. 26ECh. P.7 - Prob. 27ECh. P.7 - Prob. 28ECh. P.7 - Prob. 29ECh. P.7 - Prob. 30ECh. P.7 - Prob. 31ECh. P.7 - Prob. 32ECh. P.7 - Prob. 33ECh. P.7 - Prob. 34ECh. P.7 - Prob. 35ECh. P.7 - Prob. 36ECh. P.7 - Prob. 37ECh. P.7 - Prob. 38ECh. P.7 - Prob. 39ECh. P.7 - Prob. 40ECh. P.7 - Prob. 41ECh. P.7 - Prob. 42ECh. P.7 - Prob. 43ECh. P.7 - Prob. 44ECh. P.7 - Prob. 45ECh. P.7 - Prob. 46ECh. P.7 - Prob. 47ECh. P.7 - Prob. 48ECh. P - Prob. 1RECh. P - Prob. 2RECh. P - Prob. 3RECh. P - Prob. 4RECh. P - In Exercises 5 and 6, simplify the expression....Ch. P - Prob. 6RECh. P - Prob. 7RECh. P - Prob. 8RECh. P - Prob. 9RECh. P - Prob. 10RECh. P - Prob. 11RECh. P - Prob. 12RECh. P - Prob. 13RECh. P - Prob. 14RECh. P - Prob. 15RECh. P - Prob. 16RECh. P - Prob. 17RECh. P - Prob. 18RECh. P - Prob. 19RECh. P - Prob. 20RECh. P - Prob. 21RECh. P - Prob. 22RECh. P - Prob. 23RECh. P - Prob. 24RECh. P - Prob. 25RECh. P - Prob. 26RECh. P - Prob. 27RECh. P - Prob. 28RECh. P - Prob. 29RECh. P - Prob. 30RECh. P - Prob. 31RECh. P - Prob. 32RECh. P - Prob. 33RECh. P - Prob. 34RECh. P - Prob. 35RECh. P - Prob. 36RECh. P - Prob. 37RECh. P - Prob. 38RECh. P - Prob. 39RECh. P - Prob. 40RECh. P - Prob. 41RECh. P - Prob. 42RECh. P - Prob. 43RECh. P - Prob. 44RECh. P - Prob. 45RECh. P - Prob. 46RECh. P - Prob. 47RECh. P - Prob. 48RECh. P - Prob. 49RECh. P - Prob. 50RECh. P - Prob. 51RECh. P - Prob. 52RECh. P - Prob. 53RECh. P - Prob. 54RECh. P - Prob. 55RECh. P - Prob. 56RECh. P - Prob. 57RECh. P - Prob. 58RECh. P - Prob. 59RECh. P - Prob. 60RECh. P - Prob. 61RECh. P - Prob. 62RECh. P - Prob. 63RECh. P - Prob. 64RECh. P - Prob. 65RECh. P - Prob. 66RECh. P - Prob. 67RECh. P - Prob. 68RECh. P - Prob. 69RECh. P - Prob. 70RECh. P - Prob. 71RECh. P - Prob. 72RECh. P - Prob. 73RECh. P - Prob. 74RECh. P - Prob. 75RECh. P - Prob. 76RECh. P - Prob. 77RECh. P - Prob. 78RECh. P - Prob. 79RECh. P - Prob. 80RECh. P - Prob. 81RECh. P - Prob. 82RECh. P - Prob. 83RE
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