Question

HELP WILL MEDAL
Use the Law of Syllogism to determine whether a valid conclusion can be reached from the set of statements.
If you are 18 years old, then you are in college.
If you are in college, then you are not done learning.
a. not possible
b. You are no more than 18 years old.
c. You are at least 18 years old.
d. If you are 18 years old, then you are not done learning

Answer 1

Alright so a valid statement through the Law of Syllogism is;

If A is B
and B is C
Then A is C

Which of the options do you think would make the 2 statements given in the problem work logically?

Answer 2

D?

Answer 3

Correct

Answer 4

Thank you! Do you mind helping me with one more?

Answer 5

Sure thing, just post it as a new question and @ me :)

Answer 6

4.Is the following definitions of supplementary reversible? If yes, write it as a true biconditional. Supplementary angles are two angles whose measures sum to 180.
A)Yes,If angles are supplementary, then their measures sum to 180
B)Yes, angles are supplementary if ( and only if ) their measures sum to 180
C)Yes, angles are supplementary if their measures sum to 180
D)The statement is not reversible

Answer 7

Ok, so this is how you write a biconditional;

If x=3, then x+2=5. <--You start by writing the converse;
If x+2=5, then x=3. <--If it still makes sense then it's a true biconditional, and works. So using the sentence:
Supplementary angles are two angles whose measures sum to 180.

How would you reverse it?

Answer 8

Ummmm, I would say A?

Answer 9

Sorry, it's a true bicondition when you add the if (and only if) part, but you can only do that if the statement and it's reverse both make sense. So reverse the statement first, then make it into a true biconditional. Statement A is the reverse, which one would be the true biconditional??

Answer 10

B?

Answer 11

Correct

Answer 12

Thank you so much! :D

Answer 13

Yep :)