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Question

State whether the given statement is true or false:
Dividing each side of an inequality by a negative number changes the direction of the inequality.

A
true
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B
false
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Solution

The correct option is A true
Let's take an example: 9<18
Divide both the sides by a negative number -3
93<183
3<6, which is incorrect. To make it correct we have to change the direction of the inequality.
3>6

Hence, dividing each side of an inequality by a negative number changes the direction of the inequality.

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