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Chapter 6: Q12. (page 205)

For the following conditional statement, classify the statement as true or false.

If p=q+6then p>q.

Short Answer

Expert verified

The conditional statement “If p=q+6 then p>q” is true.

Step by step solution

01

Step 1. Apply the concept of a conditional statement.

Conditional statements are those statements where a hypothesis is followed by a conclusion. It is also called the “If-then" statement.

02

Step 2. Simplify the statement.

Consider the statement p=q+6.

The statement p=q+6 implies that p is greater than q by 6 units.

03

Step 3. Step description.

Since p is greater than q by 6 units thus this implies thatp>q

Thus, the statement is true.

Therefore, the conditional statement “if p=q+6then p>q” is true.

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Most popular questions from this chapter

Classify the following conditional as true or false.

If a>b,b=c, then a>c.

Suppose someone plans to write an indirect proof of the conditional. Write a correct first sentence of the indirect proof.

If x2≠y2, then x≠y.

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