Advertisements
Advertisements
प्रश्न
Rewrite the following statements in the form of conditional statements
The square of a prime number is not prime.
Advertisements
उत्तर
q is necessary for p ⇒ If any number is prime, then its square is not prime.
APPEARS IN
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
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.
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.
There are 35 days in a month.
Find out the sentence are statement and are not. Justify your answer.
All real numbers are complex numbers.
Find out the sentence are statement and are not. Justify your answer.
The product of (−1) and 8 is 8.
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.
Find the component statement of the compound statement:
The earth is round or the sun is cold.
For statement, determine whether an inclusive "OR" or exclusive "OR" is used. Give reasons for your answer.
A lady gives birth to a baby boy or a baby girl.
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 rains only if it is cold.
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
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.
Which of the following statements are compound statements
“2 is both an even number and a prime number”
Identify the component statements and the connective in the following compound statements.
It is raining or the sun is shining.
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.
Rewrite the following statements in the form of conditional statements:
A necessary condition for Indian team to win a cricket match is that the selection committee selects an all-rounder.
Which of the following is a statement?
The negation of the statement “It is raining and weather is cold.” is ______.
Which of the following sentences are statements? Justify
A triangle has three sides.
Which of the following sentences are statements? Justify
Every square is a rectangle.
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.
2 is an even number and a prime number.
Translate the following statements into symbolic form
x and y are even integers.
Translate the following statements into symbolic form
Either x or x + 1 is an odd integer.
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.
For all negative integers x, x 3 is also a negative integers.
Identify the Quantifiers in the following statements.
There exists a real number x such that x2 + 1 = 0.
The connective in the statement “2 + 7 > 9 or 2 + 7 < 9” is ______.
The negation of the statement “7 is greater than 8” is ______.
Which of the following is the conditional p → q?
Which of the following is not a negation of “A natural number is greater than zero”?
