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Discrete Mathematics and its Applications

Kenneth H. Rosen

$Math Studyset Vaia Explanations$ Math

7th Edition · 808 pages

ISBN: 9780073383095

Chapter 2: Q57E (page 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.

Short Answer

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Step by step solution

Step 1:

The integers Which are comprised between a and b must respect the inequality ⌈a⌉≤n≤⌊b⌋.

Step 2:

The number of the integers satisfying that will be ⌊b⌋−⌈a⌉+1, provided that a≤b.

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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.

Short Answer

Step by step solution

Step 1:

Step 2:

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Most popular questions from this chapter

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