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Brums [2.3K]
2 years ago
5

FREE BRAINLY AND 50 PTS!! MIGHT BE EASY

Mathematics
2 answers:
Thepotemich [5.8K]2 years ago
8 0
> and = with line through it
Elina [12.6K]2 years ago
3 0

-15 <-19

When we come to case of negative numbers we go right the opposite of positive integers.

The less number is greater and greater is less

hence -15 is greater than -19.

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Determine for each number whether it is a rational or irrational number.
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Consider the following statement. ∀ integer d, if 6 d is an integer then d = 3. Which of the following is a negation for the sta
omeli [17]

Answer:

The correct option is the first:

∃ an integer d such that 6d is an integer and d ≠ 3

Step-by-step explanation:

If 6d is an integer, then d = 3

Let's divide the statement into two:

Let "If 6d is an integer" be p and "then d = 3" be q.

The statement is a conditional statement. Therefore, we have

p ⇒ q

The negation of p ⇒q, ¬(p ⇒ q) ≡ p ∧ ¬q

I have attached an image proving the above.

Using this: ¬(p ⇒ q) ≡ p ∧ ¬q

Then, we leave p as it is and negate q.

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q is "then d = 3," hence ¬q is "then d ≠ 3."

Therefore, the negation of "If 6d is an integer, then d = 3" is "If 6d is an integer, then d ≠ 3."

The correct option is the first:

∃ an integer d such that 6d is an integer and d ≠ 3

6 0
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