Inequalities: True or False

Discussion in 'Algebra' started by nycmathguy, Aug 23, 2021.

  1. nycmathguy

    nycmathguy

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    Set 1.1

    DO NOT USE A CALCULATOR.

    How is this done using the given approximations?

    Problems: 34, 36, 38, 40


    20210822_191951.jpg
     
    nycmathguy, Aug 23, 2021
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  2. nycmathguy

    MathLover1

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    34.
    you have sqrt(7)-2>=0
    then sqrt(7)>=2 => this statement is true, because sqrt(7)>2
    36.
    on left side you actually have 0.777777777 which is greater than 0.7

    0.777777777>0.7->statement is true
    38.
    2<=(pi+1)/2...statement is true ((pi+1)/2>2)

    40.
    pi^2<12..statement is true (pi^2 approximately 9.9 )
     
    MathLover1, Aug 23, 2021
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  3. nycmathguy

    nycmathguy

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    Did you use the given approximations?
     
    nycmathguy, Aug 23, 2021
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  4. nycmathguy

    MathLover1

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    yes
     
    MathLover1, Aug 23, 2021
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  5. nycmathguy

    nycmathguy

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    I will try a few on my own.
     
    nycmathguy, Aug 23, 2021
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