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Determine the truth value of the following statement. If 9 > 1 then x2 − 2x + 1 = 0 for x = 1 - Mathematics and Statistics

Sum

Determine the truth value of the following statement.

If 9 > 1 then x2 − 2x + 1 = 0 for x = 1

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Solution

Let p : 9 > 1
q : x2 – 2x + 1 = 0 for x = 1 

The truth values of p and q are T and T respectively. The given statement in symbolic form is p → q.

∴ p → q ≡ T → T ≡ T

∴ Truth value of the given statement is T.

Concept: Mathematical Logic - Truth Value of Statement in Logic
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APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.06 | Page 32
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