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State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value. If a + b < 7, where a ≥ 0 and b ≥ 0 then a < 7 and b < 7. - Mathematics and Statistics

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Question

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

If a + b < 7, where a ≥ 0 and b ≥ 0 then a < 7 and b < 7.

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Solution

It is a statement which is true. Hence, it’s truth value is T.

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Notes

The answer in the textbook is incorrect.

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Chapter 1: Mathematical Logic - Exercise 1.1 [Page 3]

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