examine the proposition indicate if it is True or False: then prove if you are c
ID: 2970209 • Letter: E
Question
examine the proposition indicate if it is True or False: then prove if you are correct
A)
for every a that belongs to integer set and b that belongs to natural numbers there exists an unique (q, r) such taht (q, r belongs to integer set, a = bq+r, and r<b)
T F
B)
(a, b, c, d. e belong to interger set such that (ab= c and ad = e)) then a =< (c, e)
T F
C)
(p belong to prime numbers and p > 60) then p + 9 belong to {composites}
T F
D)
3 is a divisor of a then a belongs to {almost primes}
Explanation / Answer
A)True
B)False
C)True (As the primes > 60 are always odd, sum of two odd numbers (p and 9) is always an even number,so composite)
D) False (As the even multiples of 3 are all even (not primes))
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