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Federal Way Public Schools  
Solves Problems and Reasons Logically
Lesson 23
Analyze
  Objectives/Vocab/Tips > Examples 1 | 2 | 3 | 4 > Practice: 1 | 2 | 3 | 4 > Reflection

Example 1:

All of Ms. Hansen's students are reading poetry by Wordsworth. Nam is in Ms. Hansen's class. Jeff is not in Ms. Hansen's class. Lisa is reading poetry by Wordsworth.

  • If all the statements above are true, which conclusion below is definitely true?
  1. Lisa and Nam are in the same class.
  2. Jeff and Lisa are not in the same class.
  3. Jeff is not reading poetry by Wordsworth.
  4. Nam and Lisa are reading poetry by Wordsworth.

When solving this problem and making sure you choose the correct answer it is important to be sure to understand the problem. This would be a good opportunity to draw a simple picture or fill in a simple table to figure out who is reading what and who isn't reading as well.

The key words to notice in this problem are in the question. The words "definitely true" are very very important in your answer.

Let's make a simple table to help us with this problem. Using the facts stated in the problem this is what we know for sure. Remember, knowing for sure is very important.

Student
Ms. Hansen's Class
Reading Poetry
Lisa
Don't Know
Yes
Nam
Yes
Yes
Jeff
No
Don't Know

Let's look at letter A, Lisa and Nam are in the same class. We know that Nam is in Ms. Hansen's class, but we are not told anything about the class Lisa is in. She could be in the same class, but we don't know for sure. Therefore, this statement can't be considered "definitely true".

Letter B states, Jeff and Lisa are not in the same class. Once again we are asked about Lisa's class. We are not told anything about who's class Lisa is in. Therefore, we cannot make this statement definitely true. It could be, but we don't know for sure.

Letter C tells us that Jeff is not reading poetry by Wordsworth. According to our table you will see that we do not the answer to this as nothing was stated about it. So this statement could be true, but we do know that it isn't "definitely true".

Letter D tells us that Lisa and Nam are both reading poetry. This statement we know to be definitely true as we are told that she does read poetry and since Nam is in Ms. Hansen's class, he is reading poetry as well.

Our answer to this problem is choice D. Remember to be careful with the wording of your problem and read over the problem more than once to be sure you fully understand it.

Example 2 >>

 

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