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Chapter 6: Q10. (page 205)

For the following conditional statement, classify the statement as true or false.

If d>eand f>e, then d>f.

Short Answer

Expert verified

The conditional statement 鈥淚f d>eand f>ethen d>f鈥� is false.

Step by step solution

01

Step 1. Apply the concept of a conditional statement.

Conditional statements are those statements where a hypothesis is followed by a conclusion. It is also called the 鈥淚f-then" statement.

02

Step 2. Simplify the statement.

Consider the statement d>eand f>e.

Here d and fboth the greater than e.

03

Step 3. Step description.

Since d and f both the greater than e but that does not implies that d will be greater than f.

Thus, the statement is not always true.

Therefore, the conditional statement 鈥渋f d>eandf>e then d>f鈥� is false.

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