Unusual Solution Sets

Discussion in 'Other Pre-University Math' started by nycmathguy, Oct 1, 2021.

  1. nycmathguy

    nycmathguy

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    Section 2.7
    38 & 40

    20210930_232237.jpg

    Question 38

    The solution set of x^2 + 3x + 8 > 0
    consists of the entire set of real numbers, (−∞, ∞). The value of the quadratic polynomial x^2 + 3x + 8 is positive for every real value of x.

    Question 40

    The solution set of x^2- 8x + 16 > 0
    is empty. The polynomial x^2 + 3x + 16 is not greater than zero for any value of x.

    You say?
     
    nycmathguy, Oct 1, 2021
    #1
  2. nycmathguy

    MathLover1

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    38. correct

    40. correction: the solution set is not empty, it is , (−∞, ∞) just has one hole at x=4
    so, , (−∞, 4) U , (4 ∞)
    [​IMG]
     
    MathLover1, Oct 1, 2021
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    nycmathguy likes this.
  3. nycmathguy

    nycmathguy

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    Thank you for pointing out my error per thread.
     
    nycmathguy, Oct 1, 2021
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    MathLover1 likes this.
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