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प्रश्न
Write of the statement in the form "if p, then q".
It is necessary to be rich in order to be happy.
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उत्तर
If you want to be happy, then you will have to be rich.
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.
Mathematics is difficult.
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.
All birds sing.
Both the diagonals of a rectangle have the same length.
Write the negation of the statement:
r : There exists a number x such that 0 < x < 1.
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.
Students can take Hindi or Sanskrit as their third language.
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:
Square of an integer is positive or negative.i
Determine whether the compound statement are true or false:
Delhi is in India and 2 + 2 = 4.
Write the negation of statement:
For every x ϵ N, x + 3 < 10
Negate of the statement :
There exists a number which is equal to its square.
Write of the statement in the form "if p, then q".
The game is cancelled only if it is raining.
Check the validity of the statement:
p : 100 is a multiple of 4 and 5.
Check the validity of the statement:
q : 125 is a multiple of 5 and 7.
statement are true and false? In each case give a valid reason for saying so
r : Circle is a particular case of an ellipse.
Determine whether the argument used to check the validity of the following statement is correct:
p : "If x2 is irrational, then x is rational"
The statement is true because the number x2 = π2 is irrational, therefore x = π is irrational.
Identify the component statements and the connective in the following compound statements.
It is raining or the sun is shining.
Write the negation of the following statements:
Suresh lives in Bhopal or he lives in Mumbai.
Rewrite the following statements in the form of conditional statements:
Ramesh will get dessert only if he eats his dinner.
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.
Express in English, the statement p → q, where
p: It is raining today
q: 2 + 3 > 4
Find the component statements of the following compound statements.
Chennai is in India and is the capital of Tamil Nadu.
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.
Translate the following statements into symbolic form
A number is either divisible by 2 or 3.
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.
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 and y, xy = yx.
Check the validity of the following statement.
q: 131 is a multiple of 3 or 11
Which of the following is not a statement>
The negation of the statement “The product of 3 and 4 is 9” is ______.
