Q2 State the hypothesis and the con... [FREE SOLUTION]

91影视

Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 2: Q2 (page 34)

State the hypothesis and the conclusion of each conditional.
If she鈥檚 smart, then I鈥檓 a genius.

Short Answer

Expert verified

The hypothesis is she鈥檚 smart and the conclusion is I鈥檓 a genius.

Step by step solution

Step 1. Hypothesis and the conclusion.

The hypothesis and the conclusion of a conditional statement are where the hypothesis is the phrase immediately following by the word if and the conclusion is the phrase immediately following by the word then.

Step 2. Symbolic representation.

If p represents the hypothesis and q represents the conclusion, then the basic form of an if-then statement is 鈥淚f p, then q鈥�. For example, in the statement 鈥淚f today is Friday, then tomorrow is Saturday鈥�, 鈥渢oday is Friday鈥� is the Hypothesis, and 鈥渢omorrow is Saturday鈥� is the Conclusion.

Step 3. Identification of the Hypothesis and the conclusion.

In the statement 鈥淚f she鈥檚 smart, then I鈥檓 a genius鈥�, therefore, 鈥渟he鈥檚 smart鈥� is followed by 鈥淚f鈥� and 鈥淚鈥檓 a genius鈥� is followed by 鈥渢hen鈥� thus, the hypothesis is she鈥檚 smart and the conclusion is I鈥檓 a genius.

Hence, the hypothesis is she鈥檚 smart and the conclusion is I鈥檓 a genius.