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Q33.

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Precalculus Mathematics for Calculus
Found in: Page 252
Precalculus Mathematics for Calculus

Precalculus Mathematics for Calculus

Book edition 7th Edition
Author(s) James Stewart, Lothar Redlin, Saleem Watson
Pages 948 pages
ISBN 9781337067508

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Short Answer

Inequalities Place the correct symbol (<,>, or =) in the space.

a. 3 ___ 72

b. −3 ___ −72

c. 3.5 ___ 72

a) The required symbol is<and the complete statement is 3<72.

b) The required symbol is>and the complete statement is −3>−72.

c) The required symbol is=and the complete statement is 3.5=72.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Part a Step 1. Given information.

The given statement is:

3___72

Part a Step 2. Write the concept.

If a is less than b, then a<b.

If a is greater than b, then a>b.

If a is equal to b, then a=b.

part a Step 3. Determine the symbol.

The number 72 can be written as 3.5.

Clearly, 3 is less than 3.5. So, role="math" localid="1648538469724" 3<3.5 and 3<72.

Thus, the required symbol is < and the complete statement is 3<72.

Part b Step 1. Given information.

The given statement is:

−3___−72

Part b Step 2. Write the concept.

If a is less than b, then a<b.

If a is greater than b, then a>b.

If a is equal to b, then a=b.

Part b Step 3. Determine the symbol.

The number −72 can be written as −3.5.

Clearly, is the larger negative number between −3 and −3.5. It means −3 is greater than −3.5. So, −3>−3.5 and −3>−72.

Thus, the required symbol is > and the complete statement is −3>−72.

Part c Step 1. Given information.

The given statement is:

3.5___72

Part c Step 2. Write the concept.

If a is less than b, then a<b.

If a is greater than b, then a>b.

If a is equal to b, then a=b.

Part c Step 3. Determine the symbol.

The number 72 can be written as 3.5.

Clearly, 3.5 is equal to 72. So, 3.5=72.

Thus, the required symbol is =and the complete statement is 3.5=72.

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