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Kenneth Rosen Edition 7 Exercise 2.3 Question 54 (Page No. 154)
Pooja Khatri
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Set Theory & Algebra
Apr 11, 2019
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Prove that if $x$ is a reall number , then $\left \lfloor -x \right \rfloor = - \left \lceil x \right \rceil$ and$\left \lceil -x \right \rceil = -\left \lfloor x \right \rfloor$
kenneth-rosen
discrete-mathematics
set-theory&algebra
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Kenneth Rosen Edition 7 Exercise 2.3 Question 57 (Page No. 154)
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Kenneth Rosen Edition 7 Exercise 2.3 Question 56 (Page No. 154)
Let $a$ and $b$ be real numbers with $a<b$. Use the floor and / or ceiling functions to express the number of integers $n$ that satisfy the inequality $a≤n≤b$.
Pooja Khatri
asked
in
Set Theory & Algebra
Apr 11, 2019
by
Pooja Khatri
295
views
kenneth-rosen
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Kenneth Rosen Edition 7 Exercise 2.3 Question 55 (Page No. 154)
The function INT is found on some calculators, where INT$(x)$ = $\left \lfloor x \right \rfloor$ when $x$ nonnegative real number and INT$(x)$ = $\left \lceil x \right \rceil$ when x is a negative real number. Show that this INT function satisfies the identity INT$(-x)$=$-$ INT$(x)$
Pooja Khatri
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Apr 11, 2019
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Pooja Khatri
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kenneth-rosen
discrete-mathematics
set-theory&algebra
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