Chapter 6: Q14. (page 205)

For the following conditional statement, classify the statement as true or false.
If $g > h$ and $i > j$ , then $g + h > i + j$ .

Short Answer

Expert verified

The conditional statement “If $g > h$ and $i > j$ then $g + h > i + j$ ” 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 $g > h$ and $i > j$ .

Adding the corresponding sides of the statements as follows:

$g + i > h + j$

Step 3. Step description.

Now, the statement is $g + i > h + j$ .

But the statement $g + i > h + j$ does not imply that $g + h > i + j$

Therefore, the statement is false.

Therefore, the conditional statement “if $g > h$ and $i > j$ then $g + h > i + j$ ” is false.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

For the following conditional statement, classify the statement as true or false.
If $g > h$ and $i > j$ , then $g + h > i + j$ .

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

Mechanics Maths

Decision Maths

Calculus

Logic and Functions

Geometry

Applied Mathematics

Study anywhere. Anytime. Across all devices.

For the following conditional statement, classify the statement as true or false.If g>hand i>j, then g+h>i+j.

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

Mechanics Maths

Decision Maths

Calculus

Logic and Functions

Geometry

Applied Mathematics

Study anywhere. Anytime. Across all devices.

For the following conditional statement, classify the statement as true or false.
If $g > h$ and $i > j$ , then $g + h > i + j$ .