Log In Start studying!

Select your language

Suggested languages for you:
Answers without the blur. Sign up and see all textbooks for free! Illustration


Found in: Page 218


Book edition Student Edition
Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Pages 227 pages
ISBN 9780395977279

Answers without the blur.

Just sign up for free and you're in.


Short Answer

Classify the following conditional as true or false.

If r>t and s>t, then r>s.

The statement is false.

See the step by step solution

Step by Step Solution

Step 1. Apply the concept of conditional statement.

Conditional statements are those statements where a hypothesis is followed by a conclusion. It is also known as an " If-then" statement.

Step 2. Step description.

Consider the statement “if r>t and s>t, then r>s.”

An inequality opens on the greater side.

Here r>t implies that r is greater than t and s>t implies that s is greater than t.

Consider r=3,t=2,s=4.

Step 3. Step description.

Now, check the conditional statement by r=3,t=2,s=4 as follows:


Which is impossible such that 3 is not greater than 4.

Therefore, the statement is false.

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.