Solved on Nov 17, 2023
Find the rule for comparing and expressions.
STEP 1
Assumptions1. We are discussing the rules of inequalities in the context of real numbers.
STEP 2
The rule of inequalities refers to how inequalities behave under various operations. Here are the main rules1. If , then for any real number .
2. If and , then .
. If and , then .
4. If and , then .
5. If and , then .
STEP 3
To summarize, you can add or subtract any number from both sides of an inequality and it does not change the inequality. However, when you multiply or divide both sides of an inequality by a positive number, the inequality remains the same. If you multiply or divide by a negative number, the inequality flips.
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