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Chapter 1: Q16. (page 57)

Identify the hypothesis and conclusion of each statement.

If 2n鈭�7>25then n>16.

Short Answer

Expert verified

The hypothesis is 鈥�2n鈭�7>25鈥� and the conclusion is 鈥�n>16鈥�.

Step by step solution

01

Step 1. State the concept.

In an if-then statement, the part of the statement immediately following 鈥渋f鈥� is the hypothesis, and the part of the statement immediately following 鈥渢hen鈥� is the conclusion.

02

Step 2. List the given data.

The given statement is 鈥淚f 2n鈭�7>25, then n>16.鈥�

03

Step 3. Find the hypothesis.

The part of the given statement immediately following 鈥渋f鈥� is 鈥�2n鈭�7>25鈥�. Then, the hypothesis is 鈥�2n鈭�7>25鈥�.

04

Step 4. Find the conclusion.

The part of the given statement immediately following 鈥渢hen鈥� is 鈥�n>16鈥�. Then, the conclusion is 鈥�n>16鈥�.

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