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Chapter 2: Q7 (page 34)

State the hypothesis and the conclusion of each conditional.

Combine the conditionals in Exercises 5 and 6 into a single biconditional.

Short Answer

Expert verified

The biconditional of both the statements is “if and only if ”.

Step by step solution

01

Step 1. Define the biconditional.

If a conditional and its converse are both true then they can be combined into a single statement by using connector “if and only if”. Such a statement containing the words “if and only if” is defined as a biconditional. For example, “p if and only if q”.

02

Step 2. Rewrite the statements.

The given statement “ if ” can be rewritten as “If , then ”.

The given statement “ only if ” can be rewritten as “If , then ”.

03

Step 3. Write the biconditional.

The biconditional would be “if and only if ”.

Therefore, the biconditional of both the statements is “if and only if ”.

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Most popular questions from this chapter

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

If AB=CD,CD=EFand EF=23then AB=23.

Provide a counterexample to show that each statement is false.

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If today is Friday, then tomorrow is Saturday.

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