State the inequality properties for addition, subtraction, and multiplication.
The inequality properties for addition, subtraction and multiplication.
Answer to Problem 1FCCE
Solution:
Inequality property for addition:
Inequality property for subtraction:
Inequality property for multiplication:
Explanation of Solution
Let
Inequality Property for Addition:
Suppose that
Then,
For example, consider the inequality
That is,
Inequality Property for Subtraction:
Suppose that
Then,
For example, consider the inequality
That is,
Inequality Property for Multiplication:
Suppose that
Then,
For example, consider the inequality
That is,
Suppose that
Then,
For example, consider the inequality
That is,
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