Advertisements
Advertisements
प्रश्न
Write down the negation of following compound statements
x = 2 and x = 3 are roots of the Quadratic equation x2 – 5x + 6 = 0.
उत्तर
p: x = 2 is root of the equation x2 – 5x + 6 = 0.
q: x = 3 is root of the equation x2 – 5x + 6 = 0
The negation of the above statements is
~ (p ∧ q) = (~ p ∨ ~ q): x = 2 is not the root of the equation
x2 – 5x + 6 = 0 or x = 3 is not the root of the equation
x2 – 5x + 6 = 0.
APPEARS IN
संबंधित प्रश्न
Show that the following statement is true by the method of contrapositive.
p: If x is an integer and x2 is even, then x is also even.
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.
Every set is a finite set.
Find out the sentence are statement and are not. Justify your answer.
All real numbers are complex numbers.
Find out the sentence are statement and are not. Justify your answer.
The product of (−1) and 8 is 8.
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.
Some even integers are prime.
Both the diagonals of a rectangle have the same length.
Are the pair of statement are negation of each other:
The number x is not a rational number.
The number x is an irrational number.
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.
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:
Square of an integer is positive or negative.i
Write the negation of statement:
For every x ϵ N, x + 3 < 10
Negate statement:
All the students completed their homework.
Write of the statement in the form "if p, then q".
It rains only if it is cold.
Identify the quantifiers and write the negation of the following statements:
For all even integers x, x2 is also even.
Find the component statements of the following compound statements.
Chandigarh is the capital of Haryana and U.P.
Write the component statements of the following compound statements and check whether the compound statement is true or false.
All living things have two eyes and two legs.
Translate the following statements into symbolic form
Either x = 2 or x = 3 is a root of 3x 2 – x – 10 = 0
Write down the negation of following compound statements
All prime integers are either even or odd.
Check the validity of the following statement.
q: 131 is a multiple of 3 or 11
The negation of the statement “A circle is an ellipse” is ______.
The negation of the statement “Plants take in CO2 and give out O2 ” is ______.
The negation of the statement “101 is not a multiple of 3” is ______.
The negation of the statement “The product of 3 and 4 is 9” is ______.
Which of the following is not a negation of “A natural number is greater than zero”?
