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Question
State whether the following statement is true or false:
If a < b, then ac > bc.
True or False
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Solution
This statement is false.
Given,
a < b
If c is a positive number,
Multiplying both sides by c we get,
ac < bc
If c is a negative number,
Multiplying both sides by c we get,
ac > bc [Using rule 4]
Hence, the statement is false.
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Chapter 4: Linear Inequations (In one variable) - EXERCISE 4 (A) [Page 41]
