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प्रश्न
State whether the following statement is true or false:
If a < b, and c > 0, then a – c > b – c where a, b, c and d are real numbers and c ≠ 0.
चूक किंवा बरोबर
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उत्तर
This statement is false.
Explanation:
If a < b ⇒ a – c < b – c ...(Since, c > 0)
Given,
a < b and c > 0
Subtracting both sides by c we get,
a - c < b - c [As c is a positive number.]
Hence, the statement is false.
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