Find how many positive integers with exactly four decimal digits, that is, positive integers between 1000 and 9999 inclusive, have the following properties:(a) are not divisible by either 5 or 7.   (b) are divisible by 5 or by 7 (inclusive or). (c) are divisible by 5 and by 7. (d) are divisible by 7.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section11.8: Adding And Subtracting Radicals
Problem 5E
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Find how many positive integers with exactly four decimal digits, that is, positive integers between 1000 and 9999 inclusive, have the following properties:
(a) are not divisible by either 5 or 7.

 

(b) are divisible by 5 or by 7 (inclusive or).

(c) are divisible by 5 and by 7.

(d) are divisible by 7.

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