हिंदी

State the Following Sentence is Statement. in Case of Statement, Write Down the Truth Value : √ -4 is a Rational Number. - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

State if the following sentence is a statement. In case of a statement, write down the truth value :
√-4 is a rational number.

योग
Advertisements

उत्तर

It is a statement
Its truth value is 'F'.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2015-2016 (March)

APPEARS IN

संबंधित प्रश्न

Using truth table examine whether the following statement pattern is tautology, contradiction or contingency `(p^^~q) harr (p->q)`


Using truth table, examine whether the following statement pattern is tautology, contradiction or contingency: p ∨ [∼(p ∧ q)]


Use the quantifiers to convert the following open sentence defined on N into true statement
5x - 3 < 10


Use the quantifiers to convert the following open sentence defined on N into true statement:
x2 ≥ 1


Prove that the following statement pattern is equivalent:
(p v q) → r and (p → r) ∧ (q → r)


Using the truth table, prove the following logical equivalence.

p ∧ (q ∨ r) ≡ (p ∧ q) ∨ (p ∧ r)


Examine whether the following statement pattern is a tautology or a contradiction or a contingency.

∼ (∼ q ∧ p) ∧ q


(p ∧ q) → r is logically equivalent to ________.


Determine whether the following statement pattern is a tautology, contradiction, or contingency:

(p → q) ∧ (p ∧ ∼q)


Determine whether the following statement pattern is a tautology, contradiction or contingency:

(p → q) ∨ (q → p)


Prepare truth tables for the following statement pattern.

(~ p ∨ q) ∧ (~ p ∨ ~ q)


Examine whether the following statement pattern is a tautology, a contradiction or a contingency.

(p ∧ ~ q) → (~ p ∧ ~ q)


If p is any statement then (p ∨ ∼p) is a ______.


Using the truth table, verify

~(p → ~q) ≡ p ∧ ~ (~ q) ≡ p ∧ q.


Write the dual of the following:

~(p ∨ q) ∧ [p ∨ ~ (q ∧ ~ r)]


With proper justification, state the negation of the following.

(p → q) ∨ (p → r)


Construct the truth table for the following statement pattern.

(~p ∨ q) ∧ (~p ∧ ~q)


If p → (∼p v q) is false, then the truth values of p and q are respectively


The converse of contrapositive of ∼p → q is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×