Determine if the following statement is "true" or "false". (a) The mathematical sentence “x+5<10” is a proposition. (b) A conjunction is false if one of the propositions is false. (c) A mathematical sentence can either be true or false, or sometimes true/sometimes false. (d) The converse of the statement “If today is Wednesday, then I have a test today.” is “If today is not Wednesday, then I have no test today.” (e) A tessellation is a rough or fragmented geometric shape that can be split into parts, each of which is a reduced-size copy of the whole. (f) The number 55 is in Fibonacci sequence. (g) The value of the golden ratio is less than the square root of pi. (h) "10+x" is an example of a mathematical sentence. (i) What is the truth value of the proposition "The sum of two odd numbers is odd."

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Determine if the following statement is "true" or "false".

(a) The mathematical sentence “x+5<10” is a proposition.

(b) A conjunction is false if one of the propositions is false.

(c) A mathematical sentence can either be true or false, or sometimes true/sometimes false.

(d) The converse of the statement “If today is Wednesday, then I have a test today.” is “If today is not Wednesday, then I have no test today.”

(e) A tessellation is a rough or fragmented geometric shape that can be split into parts, each of which is a reduced-size copy of the whole.

(f) The number 55 is in Fibonacci sequence.

(g) The value of the golden ratio is less than the square root of pi.

(h) "10+x" is an example of a mathematical sentence.

(i) What is the truth value of the proposition "The sum of two odd numbers is odd."

(j) 

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