Use a Quantifier to Make the Following True or False $x$

question 122

Multiple Choice

Use a quantifier to make the following true or false, as indicated, where x is a natural number.
-x + x = 6 (make true)

• A) There is no natural number \(x\) such that \(x + x = 6\).
• B) There exists a natural number \(x\) such that \(x + x = 6\).
• C) For every natural number \(x , x + x = 6\).
• D) For all natural numbers \(x , x + x = 6\).

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Definitions:

Duodenum

The first section of the small intestine, immediately beyond the stomach, which plays a critical role in digestion by receiving bile and pancreatic juices.

Jejunum

The middle section of the small intestine, between the duodenum and ileum, which is responsible for the absorption of nutrients.

Cecum

The first part of the large intestine, into which the ileum opens from one side, and is shaped like a pouch.

Ileum

The third and final portion of the small intestine, where absorption of nutrients and minerals concludes.