Advertisements
Advertisements
प्रश्न
Re write each of the following statements in the form “p if and only if q”.
q: For you to get an A grade, it is necessary and sufficient that you do all the homework regularly.
Advertisements
उत्तर
You get an A grade if and only if you do all the homework regularly.
संबंधित प्रश्न
Write the contrapositive and converse of the following statements.
If x is a prime number, then x is odd
Write the contrapositive and converse of the following statements.
Something is cold implies that it has low temperature.
Write the contrapositive and converse of the following statements.
You cannot comprehend geometry if you do not know how to reason deductively.
Write each of the following statement in the form “if-then”.
You get a job implies that your credentials are good.
Write each of the following statement in the form “if-then”.
To get A+ in the class, it is necessary that you do the exercises of the book.
Write the statement in the form “if p, then q”.
r: You can access the website only if you pay a subscription fee.
Given below are two statements
p: 25 is a multiple of 5.
q: 25 is a multiple of 8.
Write the compound statements connecting these two statements with “And” and “Or”. In both cases check the validity of the compound statement.
State the converse and contrapositive of statement:
If it is hot outside, then you feel thirsty.
State the converse and contrapositive of statement:
I go to a beach whenever it is a sunny day.
State the converse and contrapositive of statement:
If a quadrilateral is a parallelogram, then its diagonals bisect each other.
Rewrite of the statement in the form "p if and only if q".
q : If a quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular.
Determine the contrapositive of the statement:
If it snows, then they do not drive the car.
Determine the contrapositive of the statement:
If Ravish skis, then it snowed.
Determine the contrapositive of the statement:
If he has courage he will win.
Determine the contrapositive of the statement:
It is necessary to be strong in order to be a sailor.
Determine the contrapositive of the statement:
If x is an integer and x2 is odd, then x is odd.
Check whether the statement are true or not:
p : If x and y are odd integers, then x + y is an even integer.
Check whether the statement are true or not:
q : If x, y are integers such that xy is even, then at least one of x and y is an even integer.
Which of the following is the converse of the statement?
“If Billu secure good marks, then he will get a bicycle.”
Write down the contrapositive of the following statements:
If x = y and y = 3, then x = 3.
Write down the contrapositive of the following statements:
If all three sides of a triangle are equal, then the triangle is equilateral.
Write down the contrapositive of the following statements:
If x and y are negative integers, then xy is positive.
Write down the contrapositive of the following statements:
If x is a real number such that 0 < x < 1, then x2 < 1.
Write down the converse of following statements:
If the sum of squares of two sides of a triangle is equal to the square of third side of a triangle, then the triangle is right-angled.
Write down the converse of following statements:
If all three angles of a triangle are equal, then the triangle is equilateral.
Write down the converse of following statements:
If x : y = 3 : 2, then 2x = 3y.
Write down the converse of following statements:
If x is zero, then x is neither positive nor negative.
The contrapositive of statement ‘If Chandigarh is capital of Punjab, then Chandigarh is in India’ is ______.
