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Assuming the first statement p and second as q. Write the following statement in symbolic form. The necessary condition for existence of a tangent to the curve of the function is continuity. - Mathematics and Statistics

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Question

Assuming the first statement p and second as q. Write the following statement in symbolic form.

The necessary condition for existence of a tangent to the curve of the function is continuity.

Sum

Solution

The given statement can also be expressed as ‘If the function is continuous, then the tangent to the curve exists’.

Let p : The function is continuous
q : The tangent to the curve exists.

∴ p → q is the symbolic form of the given statement.

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Notes

The answer in the textbook is incorrect.

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Chapter 1: Mathematical Logic - Miscellaneous Exercise 1 [Page 31]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.03 | Page 31

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