Advertisements
Advertisements
Question
Determine whether the compound statement are true or false:
Delhi is in England and 2 + 2 = 4.
Advertisements
Solution
False
The first component statement "Delhi is in England" is false. Since the connective is "and" and one component statement is false, the compound statement is false.
APPEARS IN
RELATED QUESTIONS
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.
Show that the following statement is true by the method of contrapositive.
p: If x is an integer and x2 is even, then x is also even.
Find out the sentence are statement and are not. Justify your answer.
Every rhombus is a square.
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.
The product of (−1) and 8 is 8.
Write the negation of the statement:
It rained on July 4, 2005.
Write the negation of the statement:
The earth is round.
Write the negation of the statement:
The sun is cold.
All birds sing.
There is a complex number which is not a real 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.
Write the negation of the statement:
r : There exists a number x such that 0 < x < 1.
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:
To enter into a public library children need an identity card from the school or a letter from the school authorities.
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.
Determine whether the compound statement are true or false:
Delhi is in England 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.
Translate the following statements in symbolic form
Tigers are found in Gir forest or Rajaji national park.
Write the negation of the following statements:
q: 9 is a multiple of 4.
Write the negation of the following statements:
Suresh lives in Bhopal or he lives in Mumbai.
The negation of the statement “It is raining and weather is cold.” is ______.
Which of the following sentences are statements? Justify
y + 9 = 7.
Which of the following sentences are statements? Justify
Sum of opposite angles of a cyclic quadrilateral is 180°.
Find the component statements of the following compound statements.
Chennai is in India and is the capital of Tamil Nadu.
Find the component statements of the following compound statements.
`sqrt(7)` is a rational number or an irrational number.
Find the component statements of the following compound statements.
Two lines in a plane either intersect at one point or they are parallel.
Write the component statements of the following compound statements and check whether the compound statement is true or false.
57 is divisible by 2 or 3.
Translate the following statements into symbolic form
x and y are even integers.
Translate the following statements into symbolic form
Students can take Hindi or English as an optional paper.
Write down the negation of following compound statements
All rational numbers are real and complex.
Rewrite the following statements in the form of conditional statements
The unit digit of an integer is 0 or 5 if it is divisible by 5.
Identify the Quantifiers in the following statements.
There exists a triangle which is not equilateral.
Identify the Quantifiers in the following statements.
There exists a even prime number other than 2.
Which of the following is a statement?
The connective in the statement “2 + 7 > 9 or 2 + 7 < 9” is ______.
The negation of the statement “A circle is an ellipse” is ______.
The negation of the statement “Rajesh or Rajni lived in Bangalore” is ______.
