1. Consider the following statement: "If a number is divisible by 24, then it is divisible by 4 and by 6."e (a) Is this statement true or false?e (b) Write the converse of the above statement. Is this new statement true or false?e (c) ) Based on your answers to (a) and (b), is the statement "A number is divisible by 24 if and only if it is divisible by 4 and by 6" true or false? Why?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Consider the following statement: "If a number is divisible by 24, then it is divisible by 4
and by 6."e
(a) Is this statement true or false?-
(b) Write the converse of the above statement. Is this new statement true or false?
(c) ) Based on your answers to (a) and (b), is the statement "A number is divisible by 24
if and only if it is divisible by 4 and by 6" true or false? Why?
Transcribed Image Text:1. Consider the following statement: "If a number is divisible by 24, then it is divisible by 4 and by 6."e (a) Is this statement true or false?- (b) Write the converse of the above statement. Is this new statement true or false? (c) ) Based on your answers to (a) and (b), is the statement "A number is divisible by 24 if and only if it is divisible by 4 and by 6" true or false? Why?
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