Advertisements
Advertisements
प्रश्न
Write down the negation of following compound statements
All real numbers are rationals or irrationals.
उत्तर
p: All real numbers are rationals.
q: All real numbers are irrationals.
The negation of the above statements is
~ (p ∨ q) = (~ p ∧ ~ q): All the real numbers are not rational and all real numbers are not irrational.
APPEARS IN
संबंधित प्रश्न
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.
There are 35 days in a month.
Give three examples of sentences which are not statements. Give reasons for the answers.
Write the negation of the statement:
It rained on July 4, 2005.
Write the negation of the statement:
Ravish is honest.
Some even integers are prime.
I will not go to school.
Find the component statement of the compound statement:
25 is a multiple of 5 and 8.
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.
Determine whether the compound statement are true or false:
Delhi is in India and 2 + 2 = 4.
Write the negation of statement:
There exists x ϵ N, x + 3 = 10
Check the validity of the statement:
q : 125 is a multiple of 5 and 7.
Check the validity of the statement:
r : 60 is a multiple of 3 or 5.
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
“Ram and Rahim are friends”
Write the negation of the following statements:
r: A triangle has four sides.
Rewrite the following statements in the form of conditional statements:
Ramesh will get dessert only if he eats his dinner.
Which of the following sentences are statements? Justify
A triangle has three sides.
Which of the following sentences are statements? Justify
Sum of opposite angles of a cyclic quadrilateral is 180°.
Find the component statements of the following compound statements.
Plants use sunlight, water and carbon dioxide for photosynthesis.
Write the component statements of the following compound statements and check whether the compound statement is true or false.
57 is divisible by 2 or 3.
Write the component statements of the following compound statements and check whether the compound statement is true or false.
24 is a multiple of 4 and 6.
Write down the negation of following compound statements
|x| is equal to either x or – x.
Write down the negation of following compound statements
6 is divisible by 2 and 3.
Rewrite the following statements in the form of conditional statements
The square of an odd number is odd.
Form the biconditional statement p ↔ q, where
p: A triangle is an equilateral triangle.
q: All three sides of a triangle are equal.
Identify the Quantifiers in the following statements.
For all real numbers x with x > 3, x 2 is greater than 9.
Check the validity of the following statement.
q: 131 is a multiple of 3 or 11
