Answer:
The rewritten statements is as follows:
(a) β dinosaur x, x is extinct.
(b) β real [tex]number[/tex] x, x is positive, [tex]negative[/tex], or zero.
(c) β irrational [tex]number[/tex] x, x is not an [tex]integer[/tex].
(d) β logician x, x is not lazy.
(e) β integer x, [tex]x^2 \ne 2,147,581,953[/tex]
(f) Β β real number x, [tex]x^2 \ne -1[/tex]
Step-by-step explanation:
As a general rule, words like "all", "every", "the", etc. are represented with β.
However, some sentences may be need to rephrased before such sentence can be rephrased
So, the following replacement will be made:
(a)
[tex]All \to[/tex] β
[tex]dinosaurs \to x[/tex]
(b)
[tex]Every \to[/tex] β
[tex]real\ number \to x[/tex]
(c)
First, we need to rephrase this sentence to:
Every irrational number is not integer
So, the replacement is:
[tex]Every \to[/tex] β
[tex]irrational\ number \to x[/tex]
(d)
First, we need to rephrase this sentence to:
Every logician is lazy
So, the replacement is:
[tex]Every \to[/tex] β
[tex]lazy \to x[/tex]
(e)
First, we need to rephrase this sentence to:
The integer 2,147,581,953...............
So, the replacement is:
[tex]The \to[/tex] β
[tex]Integer \to x[/tex]
(f) Β
Replace:
[tex]The \to[/tex] β
[tex]-1 \to x^2[/tex]
