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Chapter 6: Q3. (page 205)

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

If x>4, then x+1>5.

Short Answer

Expert verified

The conditional statement 鈥淚f x>4, then x+1>5鈥� is true.

Step by step solution

01

Step 1. Apply the concept of conditional statement.

Conditional statements are those statements where a hypothesis is followed by a conclusion. It is also called 鈥淚f-then" statement.

02

Step 2. Simplify the statement.

Consider the statement x>4.

Adding 1 both sides of the statement as follows:

x>4x+1>4+1

03

Step 3. Step description.

Simplify the statement as follows:

x+1>4+1x+1>5

Thus, if x>4then x+1>5.

Therefore, the conditional statement 鈥渋f x>4then x+1>5鈥� is true.

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