Advertisements
Advertisements
Question
Which of the following sentences are statements? Justify
y + 9 = 7.
Options
True
False
Solution
This statement is True.
Explanation:
We know that is either true or false but not both simultaneously
y + 9 = 7
Here the value of y is not given.
So it is true for y = – 2
And false for any other value of y.
Hence, it is not a statement.
APPEARS IN
RELATED QUESTIONS
By giving a counter example, show that the following statements are not true.
q: The equation x2 – 1 = 0 does not have a root lying between 0 and 2.
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.
Are the pair of statement are negation of each other:
The number x is not a rational number.
The number x is an irrational number.
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.
Write the component statement of the compound statement and check whether the compound statement is true or false:
All rational numbers are real and all real numbers are not complex.
Negate statement:
All the students completed their homework.
Write of the statement in the form "if p, then q".
It is necessary to be rich in order to be happy.
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".
It rains only if it is cold.
Write of the statement in the form "if p, then q".
It never rains when it is cold.
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
s : If x and y are integers such that x > y, then − x < − y.
Write the negation of the following statements:
Suresh lives in Bhopal or he lives in Mumbai.
Which of the following sentences are statements? Justify
0 is a complex number.
Find the component statements of the following compound statements.
The number 100 is divisible by 3, 11 and 5.
Find the component statements of the following compound statements.
A rectangle is a quadrilateral or a 5-sided polygon.
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
x = 2 and x = 3 are roots of the Quadratic equation x2 – 5x + 6 = 0.
Write down the negation of following compound statements
|x| is equal to either x or – x.
Rewrite the following statements in the form of conditional statements
You will get a sweet dish after the dinner.
Identify the Quantifiers in the following statements.
There exists a real number which is not a rational number.
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 real number x such that x2 + 1 = 0.
Check the validity of the following statement.
p: 125 is divisible by 5 and 7.
Check the validity of the following statement.
q: 131 is a multiple of 3 or 11
The negation of the statement “72 is divisible by 2 and 3” is ______.
The negation of the statement “Rajesh or Rajni lived in Bangalore” is ______.
Which of the following is the conditional p → q?
Which of the following statement is a conjunction?