The following statement is true. V real number x, 3 an integer n such that n > x. For each value of x given below, fill in a value of n to make the predicate "n> x" true. (a) x = 11.81 Let n = (b) x = 104 Let n = (c) x = 555 Let n =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Understanding the Logical Statement:**

The following statement is true:  
For every real number \( x \), there exists an integer \( n \) such that \( n > x \).

**Task:**

For each value of \( x \) given below, fill in a value of \( n \) to make the predicate \( "n > x" \) true.

(a) \( x = 11.81 \)  
Let \( n = \_\_\_\_\_\_\_\_\_\_\_\_

(b) \( x = 10^4 \)  
Let \( n = \_\_\_\_\_\_\_\_\_\_\_\_

(c) \( x = 5^5 \)  
Let \( n = \_\_\_\_\_\_\_\_\_\_\_\_
Transcribed Image Text:**Understanding the Logical Statement:** The following statement is true: For every real number \( x \), there exists an integer \( n \) such that \( n > x \). **Task:** For each value of \( x \) given below, fill in a value of \( n \) to make the predicate \( "n > x" \) true. (a) \( x = 11.81 \) Let \( n = \_\_\_\_\_\_\_\_\_\_\_\_ (b) \( x = 10^4 \) Let \( n = \_\_\_\_\_\_\_\_\_\_\_\_ (c) \( x = 5^5 \) Let \( n = \_\_\_\_\_\_\_\_\_\_\_\_
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