quiz 4: 3.1-3.2

T;F

A statement is a sentence that is​ _______ or​ _______, but not both simultaneously.

Some humane surgeons would not avoid the​ abdomen, chest, and brain.

A surgeon in 1873 stated that all humane surgeons would avoid the​ abdomen, chest, and brain. Negate the following statement. All humane surgeons would avoid the abdomen chest and brain. Negate the statement. Choose the correct answer below.

There are no A that are not B.

Fill in the blank. The statement​ "All A are​ B" can be expressed equivalently as​ _______.

As long as a sentence is either true or​ false, even if we do not know which it​ is, then that sentence is a statement.

In the video​, which of the following is true about​ statements? Choose the correct answer.

~pVq

Let p and q represent the following statements. p:You are somber. q:You have a lot of energy. Translate the following statement into symbols. You are not somber or you are energetic.

pV~q feedback:Examine the statements for p and q carefully. The conjunction​ "and" is represented by the symbol ^ and the disjunction​ "or" is represented by the symbol V. The negation of statement r is expression by writing​ ~r, read as​ "not r."

Let p and q represent the following statements. p:You are somber. q:You have a lot of energy. Translate the following statement into symbols. You are somber or you are not energetic.

~q

Let q represent the following statement. q​: One thinks hard. Express the statement One does not think hard symbolically.

~r

Let r represent the following statement. r​: One jumps high. Express the statement One does not jump high symbolically.

invalid.

Some human beings are gullible. Some human beings enjoy circus tricks.​ Therefore, we can conclude that some gullible humans enjoy circus tricks. Is this valid or invalid​ reasoning?

At least one major road connecting the city to its seaport was not open.

The City Council of a large northern metropolis promised its citizens that in the event of​ snow, all major roads connecting the city to its seaport would remain open. The City Council did not keep its promise during the first blizzard of the season. Write a statement that represents the situation.

p V q;disjunction.

The compound statement​ "p or​ q" is symbolized by -----and is called​ a/an ------

~p; not p

The negation of statement p is expressed by writing​ _______. We read this as​ _______.

Some A are not B.

The negation of​ "All A are​ B" is​ _______.

In​ words, the symbolic statement ​~p is: That animal is not a dog. What can you conclude about the resulting verbal​ statement? The resulting verbal statement is true because p is false.

The statement listed below is false. Let p represent the statement. ​p: That animal is a dog. Express the symbolic statement ​~p in words. What can be concluded about the resulting verbal​ statement?

All A are not B.

The statement​ "No A are​ B" can be expressed equivalently as​ _______.

Students do not eat chocolate.

Watch the video and then solve the problem given below. Click here to watch the video. Negate the statement​ "Students eat​ chocolate."

~p-->~q

Write the compound statement in symbolic form. Assign letters to simple statements that are not negated and show grouping symbols in symbolic statements. If​ it's not true that being Greek is necessary for being an Athenian then​ it's not true that being Peruvian is necessary for being from Lima. Let p represent​ "being Greek is necessary for being an Athenian​" and q represent​ "being Peruvian is necessary for being from Lima​."