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
By giving a counter example, show that the following statements are not true.
p: If all the angles of a triangle are equal, then the triangle is an obtuse angled triangle.
Find out the sentence are statement and are not. Justify your answer.
x2 + 5 | x | + 6 = 0 has no real roots.
Give three examples of sentences which are not statements. Give reasons for the answers.
Write the negation of the statement:
Ravish is honest.
Find the component statement of the compound statement:
All rational numbers are real and all real numbers are complex.
For statement, determine whether an inclusive "OR" or exclusive "OR" is used. Give reasons for your answer.
To apply for a driving licence, you should have a ration card or a passport.
Write the component statement of the compound statement and check whether the compound statement is true or false:
x = 2 and x = 3 are the roots or the equation 3x2 − x − 10 = 0.
Write the component statement of the compound statement and check whether the compound statement is true or false:
The sand heats up quickly in the sun and does not cool down fast at night.
Determine whether the compound statement are true or false:
Delhi is in India and 2 + 2 = 4.
Negate of the statement :
There exists a number which is equal to its square.
statement are true and false? In each case give a valid reason for saying so
r : Circle is a particular case of an ellipse.
Which of the following statements are compound statements
“2 is both an even number and a prime number”
Which of the following statements are compound statements
“9 is neither an even number nor a prime number”
Which of the following statements are compound statements
“Ram and Rahim are friends”
Write the negation of the following statements:
Suresh lives in Bhopal or he lives in Mumbai.
Write the negation of the following statements:
x + y = y + x and 29 is a prime number.
Identify the quantifiers and write the negation of the following statements:
For all even integers x, x2 is also even.
Which of the following sentences are statements? Justify
Sky is red.
Find the component statements of the following compound statements.
The number 100 is divisible by 3, 11 and 5.
Write down the negation of following compound statements
All prime integers are either even or odd.
Rewrite the following statements in the form of conditional statements
You will fail, if you will not study.
Rewrite the following statements in the form of conditional statements
2b = a + c, if a, b and c are in A.P.
Identify the Quantifiers in the following statements.
There exists a real number which is not a rational number.
Which of the following is a statement?
The connective in the statement “2 + 7 > 9 or 2 + 7 < 9” is ______.
The negation of the statement “A circle is an ellipse” is ______.
The negation of the statement “72 is divisible by 2 and 3” is ______.
The negation of the statement “Plants take in CO2 and give out O2 ” is ______.
