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Chapter 2: Q1 (page 34)

State the hypothesis and the conclusion of each conditional.

If , then .

Short Answer

Expert verified

The hypothesis is and the conclusion is .

Step by step solution

01

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.

02

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.

03

Step 3. Identification of Hypothesis and the conclusion.

In the statement 鈥淚f , then 鈥�, therefore, 鈥�鈥� is followed by 鈥淚f鈥� and 鈥�鈥� is followed by 鈥渢hen鈥� thus, the hypothesis is and the conclusion is .

Hence, the hypothesis is and the conclusion is .

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Most popular questions from this chapter

Justify each statement with a property from algebra or property of congruence.

If x+5=16then x=11.

State the hypothesis and the conclusion of each conditional.

if

State which postulate, definition, or theorem justifies the statement about the diagram.

If 鈭�BEC鈮�鈭�CEF, thenEC鈫� is the bisector of 鈭�BEF .

State the converse of each conditional. Is the converse true or false?

If , then .

Justify each step.

x鈭�2=2x+85

5x鈭�2=2x+8

5x鈭�10=2x+8

3x鈭�10=8

3x=18

x=6
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