SOLUTION: Prove that:
(a) P ) Q is not equivalent to Q ) P
(b) P ) Q is not equivalent to :P ) :Q
(c) P , Q , R is not equivalent to (P , Q) ^ (Q , R)
Give shorter propositions which ar
Algebra.Com
Question 521599: Prove that:
(a) P ) Q is not equivalent to Q ) P
(b) P ) Q is not equivalent to :P ) :Q
(c) P , Q , R is not equivalent to (P , Q) ^ (Q , R)
Give shorter propositions which are equivalent to:
(a) T , T
(b) T , F
(c) P , T.
(d) P , F.
In a mathematics book we read
y = x2 + 2x + 2 ) y = (x + 1)2 + 1 ) y >_ 1:
that ist >_ littl equal
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
^2\ +\ 1\ \Rightarrow\ y\ \geq\ 1)
Since
is a concave up parabola such that the vertex is a minimum point and where the 
-coordinate of the vertex is equal to 
and the 
-coordinate of the vertex is ^2\ +\ 2(-1)\ +\ 2\ =\ 1)
, the minimum value of the function is, indeed, 1 and the given proposition is true.
John
My calculator said it, I believe it, that settles it
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