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Chapter 2: Q1 (page 35)

State the hypothesis and the conclusion of each conditional.

If , then .

Short Answer

Expert verified

The hypothesis is and conclusion is .

Step by step solution

01

Step 1. Hypothesis and the conclusion.

The hypothesis and the conclusion of a conditional statement is 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 “If p, then q”. For example, in the statement “If today is Friday, then tomorrow is Saturday”, “today is Friday” is the Hypothesis, and “tomorrow is Saturday” is the Conclusion.

03

Step 3. Identification of Hypothesis and the conclusion.

In the statement “If , then ”, therefore, “” is followed by “If” and “” is followed by “then” 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

What can you conclude if the following sentences are all true?

  1. If(1) p, then q.
  2. (2) p
  3. I(3) q, then not r.

(4) s or r

Copy everything shown and supply missing statements and reasons.

Given:

m∠1=m∠3;

m∠2=m∠4

Prove: m∠ABC=m∠DEF

Proof:

Tell whether each statement is true or false. Then write converse and tell whether it is true or false.

Statement: If x=−6,thenx=6.

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

If 5y=−20then y=−4.

Copy everything shown and supply missing statements and reasons.

Given:ST=RN;IT=RU

Prove: SI=UN

Proof;
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