# NCERT Solutions Class 11 Maths Chapter 14 Exercise 14.4 Mathematical Reasoning

NCERT Solutions for Class 11 Maths Chapter 14 Exercise 14.4 Mathematical Reasoning cover the important topic of implications along with using contrapositives and converses in writing statements. An implication is the compound statement of the form “if p, then q.” or “p if and only if q”. If P then q is denoted by p⇒q. This is read as “p implies q.” which means the statement is false only when p is true and q is false whereas the statement is true in all other situations. ‘If and only if’, represented by the symbol ‘⇔‘ means the statement is true only when both p and q are true and false in all other cases. Exercise 14.4 involves 4 statement questions based on validating statements based on these implications.

The questions provided in these solutions are geared towards instilling a better understanding of ways to validate statements. Class 11 maths NCERT solutions Chapter 14 Exercise 14.4 helps kids to visualize implications in real-life situations. Students can download and practice these NCERT Solutions Class 11 Maths Chapter 14 Exercise 14.4 that is available in a scrollable PDF format given below.

**ā** Download NCERT Solutions Class 11 Maths Chapter 14 Exercise 14.4

**Exercise 14.4 Class 11 Chapter 14 **

### More Exercises in Class 11 Maths Chapter 14

- NCERT Solutions Class 11 Maths Chapter 14 Ex 14.1
- NCERT Solutions Class 11 Maths Chapter 14 Ex 14.2
- NCERT Solutions Class 11 Maths Chapter 14 Ex 14.3
- NCERT Solutions Class 11 Maths Chapter 14 Ex 14.5
- NCERT Solutions Class 11 Maths Chapter 14 Miscellaneous Exercise

## NCERT Solutions Class 11 Maths Chapter 14 Exercise 14.4 Tips

Students can quickly implement the practice of implications in mathematical statements by going through all the questions present in the NCERT Solutions Class 11 Maths Chapter 14 Exercise 14.4. Attaining a basic understanding of implications is crucial when it comes to validating complex statements. For example, to understand and validate a compound statement “p if and only if q”, we need to evaluate the following equivalent forms:

(i) p if and only if q

(ii) q if and only if p

(iii) p is a necessary and sufficient condition for q and vice-versa

(iv) p ⇔ q

By going through the definitions, terms, and all other related concepts students can enhance these fundamental concepts easily. Following the pattern of problems provided in NCERT Solutions Class 11 Maths Chapter 14 Exercise 14.4 is especially helpful in providing step-wise practice and understanding of each concept.

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