Which of the following is a true statement?
1 answer:
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Answer:
The rewritten statements is as follows:
(a) ∀ dinosaur x, x is extinct.
(b) ∀ real x, x is positive,
, or zero.
(c) ∀ irrational x, x is not an
.
(d) ∀ logician x, x is not lazy.
(e) ∀ integer x,
(f) ∀ real number x,
Step-by-step explanation:
As a general rule, words like "all", "every", "the", etc. are represented with ∀.
However, some sentences may be need to rephrased before such sentence can be rephrased
So, the following replacement will be made:
(a)
∀
(b)
∀
(c)
First, we need to rephrase this sentence to:
<em>Every irrational number is not integer</em>
<em />
So, the replacement is:
∀
(d)
First, we need to rephrase this sentence to:
<em>Every logician is lazy</em>
<em />
So, the replacement is:
∀
(e)
First, we need to rephrase this sentence to:
The integer 2,147,581,953...............
So, the replacement is:
∀
(f)
Replace:
∀