im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points

Mathematics

1 answer:

s344n2d4d5 [400]2 years ago

6 0

Answer:

Step-by-step explanation:

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Fill in the blanks to rewrite the following statement with variables: Given any positive real number, there is a positive real n

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a) there is s such that r>s and s is positive

b) For any r>0 , there exists s>0 such that s<r

Step-by-step explanation:

a) We are given a positive real number r. We need to wite that there is a positive real number that is smaller. Call that number s. Then r>s (this is equivalent to s<r, s is smaller than r) and s is positive (or s>0 if you prefer). We fill in the blanks using the bold words.

b) The last part claims that s<r, that is, s is smaller than r. We know that this must happen for all posirive real numbers r, that is, for any r>0, there is some positive s such that s<r. In other words, there exists s>0 such that s<r.

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$2.16 \times {10}^{ - 4}$