Answer
a) False
b) True
c) False
d) True
e) False
f) True
Work Step by Step
a) $False$
$R$eason: 4 does not divide 5 into an integer.
b) $True$
$R$eason: 2 divides 4 in 2(an integer)
c) $False$
$R$eason: The given statement states that every positive integer is divisible by every positive integer; in this we have a case where this was not possible.
d) $True$
$R$eason: The given statement states that there exists a positive integer that divides every positive integer, which is true for the positive real number 1
e) $False$
$R$eason: The given statement states that there exists an integer that is divisible by every other integer, but this integer cannot exists because there will always exist a larger number than the chosen number that does not divide the chosen number.
f) $True$
$R$eason: The given statement states that 1 divides every integer, which is true since the result is the integer itself.
