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प्रश्न
Write of the statement in the form "if p, then q".
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उत्तर
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संबंधित प्रश्न
Show that the statement
p: “If x is a real number such that x3 + 4x = 0, then x is 0” is true by
(i) direct method
(ii) method of contradiction
(iii) method of contrapositive
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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.
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There are 35 days in a month.
Find out the sentence are statement and are not. Justify your answer.
The product of (−1) and 8 is 8.
Both the diagonals of a rectangle have the same length.
All policemen are thieves.
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The number x is not a rational number.
The number x is not an irrational number.
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:
The earth is round or the sun is cold.
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To apply for a driving licence, you should have a ration card or a passport.
Write of the statement in the form "if p, then q".
There is traffic jam whenever it rains.
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It is necessary to be rich in order to be happy.
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r : 60 is a multiple of 3 or 5.
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It is raining or the sun is shining.
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2 is a positive number or a negative number.
Translate the following statements in symbolic form
Tigers are found in Gir forest or Rajaji national park.
Write the negation of the following statements:
p: All triangles are equilateral triangles.
Write the negation of the following statements:
Suresh lives in Bhopal or he lives in Mumbai.
Which of the following sentences are statements? Justify
Every set is an infinite set.
Which of the following sentences are statements? Justify
Sum of opposite angles of a cyclic quadrilateral is 180°.
Which of the following sentences are statements? Justify
sin2x + cos2x = 0
Find the component statements of the following compound statements.
Plants use sunlight, water and carbon dioxide for photosynthesis.
Translate the following statements into symbolic form
Either x or x + 1 is an odd integer.
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 rational numbers are real and complex.
Write down the negation of following compound statements
x = 2 and x = 3 are roots of the Quadratic equation x2 – 5x + 6 = 0.
Rewrite the following statements in the form of conditional statements
The square of a prime number is not prime.
Identify the Quantifiers in the following statements.
For every natural number x, x + 1 is also a natural number.
Identify the Quantifiers in the following statements.
There exists a triangle which is not an isosceles triangle.
Identify the Quantifiers in the following statements.
For all negative integers x, x 3 is also a negative integers.
The connective in the statement “2 + 7 > 9 or 2 + 7 < 9” is ______.
The connective in the statement “Earth revolves round the Sun and Moon is a satellite of earth” is ______.
