Chapter 6: Q2. (page 218)

Classify the following conditional as true or false.
If $a > b, b = c$ , then $a > c$ .

Short Answer

Expert verified

The statement is true.

Step by step solution

Step 1. Apply the concept of the conditional statement.

Conditional statements are those statements where a hypothesis is followed by a conclusion. It is also known as an " If-then" statement.

Step 2. Step description.

Consider the statement “if $a > b, b = c$ , then $a > c$ .”

An inequality opens on the greater side.

Here $a > b$ implies that a is greater than b and $b = c$ implies that b is equal to c such that b is always replaced by c.

Step 3. Step description.

Replace b by c in the statement $a > b$ as follows:

$\begin{array}{l} a > b \\ a > c \end{array}$

Thus, it follows $a > c$ .

Therefore, the statement is true.

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Classify the following conditional as true or false.
If $a > b, b = c$ , then $a > c$ .

Short Answer

Step by step solution

Step 1. Apply the concept of the conditional statement.

Step 2. Step description.

Step 3. Step description.

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Classify the following conditional as true or false.If a>b,b=c, then a>c.

Short Answer

Step by step solution

Step 1. Apply the concept of the conditional statement.

Step 2. Step description.

Step 3. Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Statistics

Geometry

Calculus

Mechanics Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Classify the following conditional as true or false.
If $a > b, b = c$ , then $a > c$ .