Advertisements
Advertisements
प्रश्न
Check the validity of the statement:
q : 125 is a multiple of 5 and 7.
Advertisements
उत्तर
q: 125 is a multiple of 5 and 7.
Since 125 is a multiple of 5 but is not a multiple of 7, the statement is not true.
Hence, it is not a valid statement.
APPEARS IN
संबंधित प्रश्न
Show that the statement “For any real numbers a and b, a2 = 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.
x2 + 5 | x | + 6 = 0 has no real roots.
Find out the sentence are statement and are not. Justify your answer.
This sentence is a statement.
Find out the sentence are statement and are not. Justify your answer.
The real number x is less than 2.
Find out the sentence are statement and are not. Justify your answer.
Mathematics is difficult.
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:
The sun is cold.
Both the diagonals of a rectangle have the same length.
Are the pair of statement are negation of each other:
The number x is not a rational number.
The number x is not an irrational number.
Determine whether the compound statement are true or false:
Delhi is in India and 2 + 2 = 5.
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".
You can access the website only if you pay a subscription fee.
Write of the statement in the form "if p, then q".
It is necessary to have a passport to log on to the server.
Check the validity of the statement:
r : 60 is a multiple of 3 or 5.
statement are true and false? In each case give a valid reason for saying so
p : Each radius of a circle is a chord of the circle.
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
s : If x and y are integers such that x > y, then − x < − y.
statement are true and false? In each case give a valid reason for saying so
t : \[\sqrt{11}\] is a rational number.
Identify the component statements and the connective in the following compound statements.
It is raining or the sun is shining.
Identify the component statements and the connective in the following compound statements.
2 is a positive number or a negative number.
Write the negation of the following statements:
x + y = y + x and 29 is a prime number.
Translate the following statements in symbolic form:
If x = 7 and y = 4” then x + y = 11.
Check the validity of the statements:
s: 60 is a multiple of 3 or 5.
Which of the following sentences are statements? Justify
Every set is an infinite set.
Which of the following sentences are statements? Justify
y + 9 = 7.
Which of the following sentences are statements? Justify
sin2x + cos2x = 0
Translate the following statements into symbolic form
Either x = 2 or x = 3 is a root of 3x 2 – x – 10 = 0
Write down the negation of following compound statements
All rational numbers are real and complex.
Write down the negation of following compound statements
All real numbers are rationals or irrationals.
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.
There exists a triangle which is not equilateral.
Identify the Quantifiers in the following statements.
For all real numbers x and y, xy = yx.
Identify the Quantifiers in the following statements.
There exists a triangle which is not an isosceles triangle.
Check the validity of the following statement.
p: 125 is divisible by 5 and 7.
Which of the following is not a negation of “A natural number is greater than zero”?
