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chubhunter [2.5K]
3 years ago
7

Which statement is true about this argument ?

Mathematics
2 answers:
MrRa [10]3 years ago
5 0
D the argument is not valid because the conclusion does not follow from the premises
nignag [31]3 years ago
5 0
It's good to review the laws of syllogism and detachment.

Law of detachment:
Statement 1: If p then q.
Statement 2: p is true.
By the law of detachment, you can conclude "q is true."

Law of syllogism:
Statement 1: If p then q.
Statement 2: If q then r.
By the law of syllogism, you can conclude "If p then r."

Now look at which of the two cases above you have.
Statement 1: If a quadrilateral is a square, then the quadrilateral is a rectangle.
This is "if p then q."

Statement 2:
<span>If a quadrilateral is a rectangle then the quadrilateral is a parallelogram.
This is "if q then r."

You have
If p then q.
If q then r.

This is what you need for the law of syllogism.

That means you can conclude "if p then r", which in this specific case is
"</span><span>If a quadrilateral is a square, then the quadrilateral is a parallelogram."
</span>
The answer is that it is a valid argument by the law of syllogism.
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