मराठी

Write down the negation of following compound statements |x| is equal to either x or – x. - Mathematics

Advertisements
Advertisements

प्रश्न

Write down the negation of following compound statements

|x| is equal to either x or – x.

बेरीज
Advertisements

उत्तर

p: |x| is equal to x.

q: |x| is equal to – x.

The negation of the above statements is

~ (p ∨ q) = (~ p ∧ ~ q): x is not equal to x and it is not equal to – x.

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.(vii) | पृष्ठ २६३

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Show that the statement “For any real numbers a and ba2 = 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.

 Every set is a finite set.


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

The cat pussy is black.


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

 Are all circles round?


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

Every rhombus is a square.


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.


There is a complex number which is not a real number.


Write the negation of the statement:

r : There exists a number x such that 0 < x < 1.

 

Check whether the following pair of statements are negation of each other. Give reasons for your answer.
a + b = b + a is true for every real number a and b.
 There exist real numbers a and b for which a + b = b + a.


Find the component statement of the compound statement:
 The sky is blue and the grass is green.


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


Negate  statement:
 All the students completed their homework.


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

There is traffic jam whenever it rains.


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

 The game is cancelled only if it is raining.


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

 Whenever it rains it is cold.


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

 It never rains when it is cold.

 

Write the negation of the following statements:
p: All triangles are equilateral triangles.


Rewrite the following statements in the form of conditional statements:

Ramesh will get dessert only if he eats his dinner.


Identify the quantifiers and write the negation of the following statements:
For all even integers x, x2 is also even.


The negation of the statement “It is raining and weather is cold.” is ______.


Which of the following sentences are statements? Justify

Every square is a rectangle.


Find the component statements of the following compound statements.

0 is less than every positive integer and every negative integer.


Find the component statements of the following compound statements.

Two lines in a plane either intersect at one point or they are parallel.


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

All rational numbers are real and complex.


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

2b = a + c, if a, b and c are in A.P.


Form the biconditional statement p ↔ q, where
p: The unit digit of an integer is zero.
q: It is divisible by 5.


Form the biconditional statement p ↔ q, where
p: A triangle is an equilateral triangle.
q: All three sides of a triangle are equal.


The negation of the statement “7 is greater than 8” is ______.


The negation of the statement “72 is divisible by 2 and 3” is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×