RULES: a. Add b. Subtract c. Multiply by d. Divide by e. Multiply by f. Divide by ocedure 5. Answer the question: Using the answers obtained in Procedure 4, when did you change the direction or reverse the inequality?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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RULES:
a. Add
b. Subtract
c. Multiply by
d. Divide by
e. Multiply by
f. Divide by
rocedure 5. Answer the question: Using the answers obtained in Procedure 4, when did you
change the direction or reverse the inequality?
rocedure 6. DRAWING CONCLUSIONS: Using the data obtained in Procedures 3 to 5, summarize
your answers by completing the table below. Write YES or NO in the last two columns of
the table.
Does the inequality symbol change or reverse directions?
a positive number
a negative number
Add
Subtract
Multiply by
Divide by
The activity above illustrates the properties of inequalities. These properties are useful in solving
nequalities.
Transcribed Image Text:RULES: a. Add b. Subtract c. Multiply by d. Divide by e. Multiply by f. Divide by rocedure 5. Answer the question: Using the answers obtained in Procedure 4, when did you change the direction or reverse the inequality? rocedure 6. DRAWING CONCLUSIONS: Using the data obtained in Procedures 3 to 5, summarize your answers by completing the table below. Write YES or NO in the last two columns of the table. Does the inequality symbol change or reverse directions? a positive number a negative number Add Subtract Multiply by Divide by The activity above illustrates the properties of inequalities. These properties are useful in solving nequalities.
INVESTIGATING INEQUALITIES
Procedure 1. Choose any two positive integers and place > or < between them to show which is
greater. Write your two numbers on the line.
Procedure 2. Apply each rule below to both sides of your inequality. Write the correct inequality
symbol between the two resulting numbers.
RULES:
a. Add 4.
b. Subtract 4.
c. Multiply by 4.
d. Divide by 4.
e. Multiply by – 4.
f. Divide by - 4.
Procedure 3. Answer the question: Using the answer obtained in Procedure 2, when did you change
the direction or reverse the inequality?
other positive and negative numbers. Write your new positive and negative numbers on
the blank after each rule.
Procedure 4. Use your inequality in Procedure 1. Repeat Procedure 2, but change 4 and - 4 to some
Transcribed Image Text:INVESTIGATING INEQUALITIES Procedure 1. Choose any two positive integers and place > or < between them to show which is greater. Write your two numbers on the line. Procedure 2. Apply each rule below to both sides of your inequality. Write the correct inequality symbol between the two resulting numbers. RULES: a. Add 4. b. Subtract 4. c. Multiply by 4. d. Divide by 4. e. Multiply by – 4. f. Divide by - 4. Procedure 3. Answer the question: Using the answer obtained in Procedure 2, when did you change the direction or reverse the inequality? other positive and negative numbers. Write your new positive and negative numbers on the blank after each rule. Procedure 4. Use your inequality in Procedure 1. Repeat Procedure 2, but change 4 and - 4 to some
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