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Chapter 1: Q17. (page 57)

Example 1 Identify the hypothesis and conclusion of each statement.

If xequalsyandyequalsz, thenxequalsz.

Short Answer

Expert verified

The hypothesis is 鈥� equals xand yequals z鈥� and the conclusion of the given statement is 鈥�x equals z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 xequals yand yequals z, thenx equals z.鈥�

03

Step 3. Find the hypothesis.

The part of the given statement immediately following 鈥渋f鈥� is 鈥�x equals yand yequals z鈥�. Then, the hypothesis is 鈥�x equals yand yequals z鈥�.

04

Step 4. Find the conclusion.

The part of the given statement immediately following 鈥渢hen鈥� is 鈥�x equals z鈥�. Then, the conclusion is 鈥�x equals z鈥�.

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