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Which of the following are propositions? If they are propositions, state whether they are true, false, or

indeterminate. Put the letters in the categories below.
a. Sheep have four legs.
b. Do giraffes have four legs?
c. Alicia is good at Mathematics.
d. I think my favorite team will win.
e. Vicki is very clever.
f. There are 7 days in a week.
g. Put your shoes on. h All cows are brown.
h.
a² + b²2= c²
i. The opposite sides of a parallelogram are equal in length.

1 Answer

7 votes

Answer:

Explanation:

a. Sheep have four legs. - This is a proposition because it is a declarative sentence that can be evaluated as true or false. In this case, it is false because sheep have only two legs.

b. Do giraffes have four legs? - This is not a proposition because it is an interrogative sentence, asking a question. It cannot be evaluated as true or false.

c. Alicia is good at Mathematics. - This is a proposition because it is a declarative sentence that can be evaluated as true or false. However, without more information, we cannot determine its truth value.

d. I think my favorite team will win. - This is not a proposition because it is expressing a belief or opinion. It cannot be evaluated as true or false.

e. Vicki is very clever. - This is not a proposition because it is expressing an opinion or subjective judgment. It cannot be evaluated as true or false.

f. There are 7 days in a week. - This is a proposition because it is a declarative sentence that can be evaluated as true or false. In this case, it is true because there are indeed 7 days in a week.

g. Put your shoes on. - This is not a proposition because it is a command or directive, not a statement that can be evaluated as true or false.

h. All cows are brown. - This is a proposition because it is a declarative sentence that can be evaluated as true or false. However, without more information, we cannot determine its truth value.

i. a² + b² = c² - This is not a proposition because it is an equation, not a statement that can be evaluated as true or false.

j. The opposite sides of a parallelogram are equal in length. - This is a proposition because it is a declarative sentence that can be evaluated as true or false. In this case, it is true because it is a property of parallelograms.

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