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Kenneth Rosen Edition 7 Exercise 2.3 Question 9 (Page No. 153)
Pooja Khatri
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Set Theory & Algebra
Apr 9, 2019
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Find the values.
$\left \lceil 3/4 \right \rceil$
$\left \lfloor 7/8 \right \rfloor$
$\left \lceil -3/4 \right \rceil$
$\left \lfloor -7/8 \right \rfloor$
$\left \lceil 3 \right \rceil$
$\left \lfloor -1 \right \rfloor$
$\left \lfloor 1/2 + \left \lceil 3/2 \right \rceil \right \rfloor$
$\left \lfloor 1/2.\left \lfloor 5/2 \right \rfloor \right \rfloor$
kenneth-rosen
discrete-mathematics
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Pooja Khatri
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Kenneth Rosen Edition 7 Exercise 2.3 Question 28 (Page No. 153)
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Kenneth Rosen Edition 7 Exercise 2.3 Question 27 (Page No. 153)
Prove that a strictly decreasing function from $R$ to it-self is one-to-one. Give an example of an decreasing function from $R$ to itself that is not one-to-one
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Kenneth Rosen Edition 7 Exercise 2.3 Question 26 (Page No. 153)
Prove that a strictly increasing function from $R$ to it-self is one-to-one. Give an example of an increasing function from $R$ to itself that is not one-to-one
Pooja Khatri
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Kenneth Rosen Edition 7 Exercise 2.3 Question 25 (Page No. 153)
Let $f: R \rightarrow R$ and let $f(x) >0$ for all $x \epsilon R.$ Show that $f(x) $ is strictly decreasing if and only if the function $g(x) = 1/f(x)$ is strictly increasing.
Pooja Khatri
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