QuestionUse the Law of Syllogism to create a new conditional statement from these true statements: If $x<-2$ , then $|x|>2$ ; If $x>2$ , then $|x|>2$ .

Studdy Solution

STEP 1

Assumptions1. The first statement is If $x<-$ , then $|x|>$ . . The second statement is If $x>$ , then $|x|>$ .
3. The Law ofyllogism states that if we have two conditional statements, one with the conclusion of the first being the hypothesis of the second, we can form a new conditional statement.

STEP 2

Examine the given conditional statements.The first statement is If $x<-2$ , then $|x|>2$ . The second statement is If $x>2$ , then $|x|>2$ .

STEP 3

Identify the hypothesis and conclusion of each statement.
In the first statement, the hypothesis is $x<-2$ and the conclusion is $|x|>2$ . In the second statement, the hypothesis is $x>2$ and the conclusion is $|x|>2$ .

STEP 4

Analyze the hypothesis and conclusion of the two statements to see if they can be connected using the Law ofyllogism.
The conclusion of the first statement ( $|x|>2$ ) is not the same as the hypothesis of the second statement ( $x>2$ ). Therefore, we cannot apply the Law ofyllogism to these two statements.

STEP 5

State the conclusion.
Since the conclusion of the first statement is not the same as the hypothesis of the second statement, we cannot form a new conditional statement using the Law ofyllogism.

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms