Chapter 6: Q15. (page 205)

For the following conditional statement, classify the statement as true or false.
If $k > l$ and $m > n$ , then $k + m > l + n$ .

Short Answer

Expert verified

The conditional statement “If $k > l$ and $m > n$ then $k + m > l + n$ ” is false.

Step by step solution

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.

Step 2. Simplify the statement.

Consider the statement $k > l$ and $m > n$ .

Add both corresponding sides of the statements $k > l$ and $m > n$ .

Step 3. Step description.

Now, the statement is as follows:

$k + m > l + n$

Therefore, the statement is true.

Therefore, the conditional statement “if $k > l$ and $m > n$ then $k + m > l + n$ ” is false.

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For the following conditional statement, classify the statement as true or false.
If $k > l$ and $m > n$ , then $k + m > l + n$ .

Short Answer

Step by step solution

Step 1. Apply the concept of a conditional statement.

Step 2. Simplify the statement.

Step 3. Step description.

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For the following conditional statement, classify the statement as true or false.If k>land m>n, then k+m>l+n.

Short Answer

Step by step solution

Step 1. Apply the concept of a conditional statement.

Step 2. Simplify the statement.

Step 3. Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Statistics

Calculus

Logic and Functions

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Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

For the following conditional statement, classify the statement as true or false.
If $k > l$ and $m > n$ , then $k + m > l + n$ .