b : The bus is on time.
c : I catch the bus.
h : I leave home early.
C(x) : x is a cute kitten.
H(x) : x is a human.
L(x,y) : x loves y.
F_{n }:= {k ∈ Z+ | k < n and n = ak for some a ∈ Z+}
For example, F_{12 }= {1,2,3,4,6}.
Prove or disprove the following statement: There exists an integer n such that
g : A → B
x 7→ 3x^{2 }− 6
where A and B are subsets of R.
(6 points) Assume that √21 is irrational, prove that √3 + √7 is irrational.
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