Book edition Student Edition

Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Pages 227 pages

ISBN 9780395977279

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Short Answer

Classify the following conditional as true or false.
If $r > t$ and $s > t$ , then $r > s$ .

The statement is false.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

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:

$\begin{array}{l} r > t, s > t \Rightarrow r > s \\ 3 > 2, 4 > 2 \Rightarrow 3 > 4 \end{array}$

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

Therefore, the statement is false.

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Geometry

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Short Answer

Classify the following conditional as true or false.
If $r > t$ and $s > t$ , then $r > s$ .

Step by Step Solution

Step 1. Apply the concept of conditional statement.

Step 2. Step description.

Step 3. Step description.

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Short Answer

Classify the following conditional as true or false.If r>t and s>t, then r>s.

Step by Step Solution

Step 1. Apply the concept of conditional statement.

Step 2. Step description.

Step 3. Step description.

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Classify the following conditional as true or false.
If $r > t$ and $s > t$ , then $r > s$ .