Answer :
If you multiply or divide both sides of an inequality by a negative number, reverse the direction of the inequality sign!
The inequality sign will changed if we multiply or divide the inequality by any negative number.
Inequality:
Inequality in non-equal comparison between two numbers. Inequality holds true by adding or subtracting.
Consider the given that inequality A < B then
- Adding property of inequality A + c < B + c
- Subtraction property of inequality A - c < B -c
- Multiplication property of inequality A c < B c but inequality sign changed if c is negative that is - A c > - B c
- Division property of inequality [tex]\frac{A}{c} < \frac{B}{c}[/tex]
but the inequality sign will also changed if c is negative
[tex]\frac{A}{-c} > \frac{B}{-c}[/tex]
Therefore if we multiply or divide both the sides by any negative number the inequality sign will changed.
Learn more about inequality here-
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