Chapter 6: Q6. (page 205)

For the following conditional statement, classify the statement as true or false.
If $a + b = n$ and $c > b$ then $a + c > n$ .

Short Answer

Expert verified

The conditional statement “If $a + b = n$ and $c > b$ then $a + c > n$ ” is true.

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 $c > b$ .

Adding both sides of the statement as follows:

$\begin{matrix} c > b \\ c + a > b + a \\ c + a > a + b \end{matrix}$

Step 3. Step description.

Simplify the statement as follows:

$\begin{array}{l} c + a > a + b \\ a + c > n [a + b = n] \end{array}$

Thus, if $a + b = n$ and $c > b$ then $a + c > n$ .

Therefore, the conditional statement “if $a + b = n$ and $c > b$ then $a + c > n$ ” is true.

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For the following conditional statement, classify the statement as true or false.
If $a + b = n$ and $c > b$ then $a + c > n$ .

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 a+b=nand c>bthen a+c>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

Probability and Statistics

Logic and Functions

Theoretical and Mathematical Physics

Pure Maths

Geometry

Statistics

Study anywhere. Anytime. Across all devices.

For the following conditional statement, classify the statement as true or false.
If $a + b = n$ and $c > b$ then $a + c > n$ .