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Chapter 6: Q3. (page 218)

Classify the following conditional as true or false.

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

Short Answer

Expert verified

The statement is false.

Step by step solution

01

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.

02

Step 2. Step description.

Consider the statement 鈥渋f r>tand s>t, then r>s.鈥�

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.

03

Step 3. Step description.

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

r>t,s>t鈬�r>s3>2,4>2鈬�3>4

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

Therefore, the statement is false.

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