Home
Class 12
MATHS
If a statement is always true, then it i...

If a statement is always true, then it is a ........

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, "If a statement is always true, then it is a ........", we will analyze the definitions related to mathematical reasoning. ### Step-by-Step Solution: 1. **Understanding the Statement**: - The question states that we have a statement that is always true. In mathematical terms, this means that no matter what values or conditions we apply, the statement holds true. 2. **Defining Truth Values**: - In logic, statements can have truth values: either true (T) or false (F). A statement that is always true will have the truth value T for every possible scenario. 3. **Identifying the Concept**: - The concept that describes a statement which is true in all possible scenarios is known as a "tautology". 4. **Conclusion**: - Therefore, if a statement is always true, it is classified as a tautology. ### Final Answer: If a statement is always true, then it is a **tautology**. ---
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    ML KHANNA|Exercise PROBLEM SET (1)(TRUE OR FALSE)|21 Videos

  • MATHEMATICAL REASONING

    ML KHANNA|Exercise PROBLEM SET (2)|15 Videos

  • MATHEMATICAL REASONING

    ML KHANNA|Exercise PROBLEM SET (1)(MULTIPLE CHOICE QUESTIONS)|29 Videos

  • LOGARITHMS AND SURDS

    ML KHANNA|Exercise Miscellaneous exercise|3 Videos

  • MATRICES

    ML KHANNA|Exercise COMPREHENSION|3 Videos

Similar Questions

Explore conceptually related problems

If a tower subtends equal angles at four points P, Q , R and S that lie in a plane containing the foot of the tower , the which fo the following statements is always true (here, the tower is perpendicular to the plane containing the points P, Q,R,S)

Which of the following statements is always true? ([.] represents the greatest integer function. a) If f(x) is discontinuous then |f(x)| is discontinuous b) If f(x) is discontinuous then f(|x|) is discontinuous c) f(x)=[g(x)] is discontinous when g(x) is an integer d) none of these

Which Statement is always true for an exothermic reaction ?

Which statement is always true for a spontaneous reaction?

Which of the following statement is always true

Which of the following statement(s) is/are not always true? If log(ab) exists,then log(ab)=log a+log b for a and b in R

If x+y+z=1,x!=y!=z;x,y,z are real numbers and 1/x+1/y+1/z=m. How many of the following statements are always true.i) m=6( i) m=8( i) m=10( iv )m=12