Advertisements
Advertisements
प्रश्न
Write the truth value of the following statements.
(i) 9 is an even integer or 9 + 1 is even.
(ii) 2 + 4 = 6 or 2 + 4 = 7
(iii) Delhi is the capital of India and Islamabad is the capital of Pakistan.
(iv) Every rectangle is a square and every square is a rectangle
(v) The sun is a star or sun is a planet.
उत्तर
In view of (D1), (D2), (D3) and (D4),
We observe that only statement (iv) has truth value F as the first component statement namely “every rectangle is a square” is false.
Further, in statements (i), (ii) and (v) atleast one component statement is true.
Therefore, these statements have truth value T.
Also, truth value of statement (iii) is T as both the component statements are true
APPEARS IN
संबंधित प्रश्न
Show that the statement “For any real numbers a and b, a2 = b2 implies that a = b” is not true by giving a counter-example.
Find out the sentence are statement and are not. Justify your answer.
Two non-empty sets have always a non-empty intersection.
Find out the sentence are statement and are not. Justify your answer.
x2 + 5 | x | + 6 = 0 has no real roots.
Find out the sentence are statement and are not. Justify your answer.
Go !
Some even integers are prime.
Write the negation of the statement:
p : For every positive real number x, the number (x − 1) is also positive.
Write the negation of the statement:
q : For every real number x, either x > 1 or x < 1.
Write the negation of the statement:
r : There exists a number x such that 0 < x < 1.
Determine whether the compound statement are true or false:
Delhi is in England and 2 + 2 = 4.
Write of the statement in the form "if p, then q".
The game is cancelled only if it is raining.
Which of the following statements are compound statements
“Ram and Rahim are friends”
Translate the following statements in symbolic form
Tigers are found in Gir forest or Rajaji national park.
Write the negation of the following statements:
p: All triangles are equilateral triangles.
Write the negation of the following statements:
r: A triangle has four sides.
Identify the quantifiers and write the negation of the following statements:
There exists a number which is a multiple of 6 and 9.
Check the validity of the statements:
r: 100 is a multiple of 4 and 5.
Which of the following sentences are statements? Justify
Sum of opposite angles of a cyclic quadrilateral is 180°.
Translate the following statements into symbolic form
Rahul passed in Hindi and English.
Translate the following statements into symbolic form
Either x or x + 1 is an odd integer.
Write down the negation of following compound statements
A triangle has either 3-sides or 4-sides.
Rewrite the following statements in the form of conditional statements
The square of a prime number is not prime.
Form the biconditional statement p ↔ q, where
p: The unit digit of an integer is zero.
q: It is divisible by 5.
Identify the Quantifiers in the following statements.
For all negative integers x, x 3 is also a negative integers.
Which of the following is a statement?
The negation of the statement “A circle is an ellipse” is ______.
The negation of the statement “7 is greater than 8” is ______.
The negation of the statement “Rajesh or Rajni lived in Bangalore” is ______.
Which of the following is not a negation of “A natural number is greater than zero”?
