PRECALCULUS:GRAPH...-NASTA ED.(FLORIDA)
PRECALCULUS:GRAPH...-NASTA ED.(FLORIDA)
10th Edition
ISBN: 9780136174318
Author: Demana
Publisher: PEARSON
Expert Solution & Answer
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Chapter P.7, Problem 18E
Solution

Solve the inequality graphically.

  x≤0⋅75 or x≥1⋅33

Given:

The inequality is, 12x2−25+12≥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:

  12x2−25+12≥0

The graph of 12x2−25+12≥0 is −

  PRECALCULUS:GRAPH...-NASTA ED.(FLORIDA), Chapter P.7, Problem 18E

  1⋅33≤x≤0⋅75

Note that the given inequality is true for the values of x≤0⋅75 and for the values of x≥1⋅33

Thus, the solution of the given inequality is x≤0⋅75 or x≥1⋅33

Interval notation (−∞,0⋅75]∪[1⋅33,∞)

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Chapter P.7, Problem 17E
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Chapter P.7, Problem 19E

Chapter P Solutions

PRECALCULUS:GRAPH...-NASTA ED.(FLORIDA)

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