Advertisements
Advertisements
प्रश्न
Are the following pairs of statements negations of each other?
The number x is not a rational number.
The number x is not an irrational number.
Advertisements
उत्तर
The negation of the first statement is “the number x is a rational number”.
This is same as the second statement. This is because if a number is not an irrational number, then it is a rational number.
Therefore, the given statements are negations of each other.
संबंधित प्रश्न
Write the negation of the following statements:
Chennai is the capital of Tamil Nadu.
Write the negation of the following statements:
`sqrt2` is not a complex number.
Write the negation of the following statements:
All triangles are not equilateral triangle.
Write the negation of the following statements:
The number 2 is greater than 7.
Write the negation of the following statements:
Every natural number is an integer.
Are the following pairs of statements negations of each other?
The number x is a rational number.
The number x is an irrational number.\
Find the component statements of the following compound statements and check whether they are true or false.
All integers are positive or negative.
Find the component statements of the following compound statements and check whether they are true or false.
100 is divisible by 3, 11 and 5.
Write the negation of the following statements:
p: For every positive real number x, the number x – 1 is also positive.
Write the negation of the following statements:
q: All cats scratch.
Write the negation of the following statements:
r: For every real number x, either x > 1 or x < 1.
Write the negation of the following statements:
s: There exists a number x such that 0 < x < 1.
Prove by direct method that for any integer ‘n’, n3 – n is always even.
Prove by direct method that for any real numbers x, y if x = y, then x2 = y2.
