मराठी

Write down the negation of following compound statements All prime integers are either even or odd. - Mathematics

Advertisements
Advertisements

प्रश्न

Write down the negation of following compound statements

All prime integers are either even or odd.

बेरीज

उत्तर

p: All prime integers are even.

q: All prime integers are odd.

The negation of the above statements is

~ (p ∨ q) = (~ p ∧ ~ q): All prime integers are not even and all prime integers are not odd.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 14: Mathematical Reasoning - Exercise [पृष्ठ २६३]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
पाठ 14 Mathematical Reasoning
Exercise | Q 6.(vi) | पृष्ठ २६३

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

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.

Every rhombus is a square.


Find out the sentence are statement and are not. Justify your answer.

 x2 + 5 | x | + 6 = 0 has no real roots.


Write the negation of the statement:

 The earth is round.


Are the pair of statement are negation of each other:
The number is not a rational number.
The number x is not an irrational number.


Are the pair of statement are negation of each other:

 The number x is not a rational number.
The number is an irrational number.


Write the negation of the statement:

q : For every real number x, either x > 1 or x < 1.


For statement, determine whether an inclusive "OR" or exclusive "OR" is used. Give reasons for your answer.

 To entry a country, you need a passport or a voter registration card.


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 = 5.


Write of the statement in the form "if p, then q". 

 It is necessary to be rich in order to be happy.


Write of the statement in the form "if p, then q". 

 It rains only if it is cold.


 statement are true and false? In each case give a valid reason for saying so

q : The centre of a circle bisects each chord of the circle.


 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 

“Ram and Rahim are friends”


Write the negation of the following statements:
q: 9 is a multiple of 4.


Rewrite the following statements in the form of conditional statements:

A necessary condition for Indian team to win a cricket match is that the selection committee selects an all-rounder.


Translate the following biconditional into symbolic form:
“ABC is an equilateral triangle if and only if its each interior angle is 60°”


Identify the quantifiers and write the negation of the following statements:
There exists a number which is equal to its square.


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°.


Write the component statements of the following compound statements and check whether the compound statement is true or false.

2 is an even number and a prime number.


Write down the negation of following compound statements

35 is a prime number or a composite number


Rewrite the following statements in the form of conditional statements

The square of an odd number is odd.


Identify the Quantifiers in the following statements.

There exists a triangle which is not equilateral.


Identify the Quantifiers in the following statements.

For all real numbers x with x > 3, x 2 is greater than 9.


Identify the Quantifiers in the following statements.

There exists a real number x such that x2 + 1 = 0.


Check the validity of the following statement.
p: 125 is divisible by 5 and 7.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×