Home
Class 11
MATHS
Write the contrapositive and converse of...

Write the contrapositive and converse of the following statements. (i) If x is a prime number, then x is odd. (ii) If the two lines are parallel, then they do not intersect in the same plane, (iii) Something is cold implies that it has low tempe

Text Solution

Verified by Experts

(i) Given statement : if x is a prime number, then x is odd.
Contrapositive : if x is not odd then x is not a prime number.
Converse: if a number x is odd then x is a prime number .
(ii) Given statement : if two lines are parallel,then they do not intersect in the same plane.
Contrapositive : if two lines interset in a plane , then they are not parallel .
converse: if two lines do not intersect in a plane, then they are parallel.
(iii) Given statement : something is cold implies that it has low temperature.
Contrapositive : if something is not at low temperature, then it is not cold.
Converse: if something is at low temperature , then it is cold.
(iv) Given statement : you cannot comprehend geometry if you do not know how to reason deductively.
Contrapositive : if you know how to reason deductively , then you can comprehend geometry.
Converse: if you do not know how to reason deductively , then you cannot comprehend geometry.
(v) Given statement : x is an number implies that x is divisibile by 4.
Contrapositive : x is not divisible by 4, then x is not an even number .
Converse: If x is divisible 4, then x is an even number.
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 14.5|5 Videos
  • MATHEMATICAL REASONING

    NAGEEN PRAKASHAN ENGLISH|Exercise Misellaneous exercise|7 Videos
  • MATHEMATICAL REASONING

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 14.3|4 Videos
  • LINEAR INEQUALITIES

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|14 Videos
  • PERMUTATION AND COMBINATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|11 Videos

Similar Questions

Explore conceptually related problems

Write the contrapositive of the following statements: (i)If x is prime number then x is odd (ii)If two lines re parallel then they do not intersect in the same plane. (iii) x is even number implies that x is divisible by 4.

The converse of the statement If two lines are parallel , then they do not intersect in the plane is

Write the converse of the following satement: If the two lines are parallel, then they do not intersect in the same plane.

The contrapositive of the statement If x is a prime number then x is odd is

Write the contrapositive of the following statements: If x is real number such that 0 lt x lt 1 , then x^(2) lt 1 .

Write the contrapositive and converse of the following statements Something is cold implies that it has low temperature.

Write the converse of the following statements.(i) If a number n is even, then n^2 is even.(ii) If you do all the exercises in the book, you get an A grade in the class.

Write the converse of the following statements: (i)If two integers a\ a n d\ b are such that a > b then a-b is always a positive integer. (ii)If x is prime number, then x is odd. (iii)If two lines are parallel, then they do not intersect in the same place.

Determine the contrapositive of each of the following statements: (i)If Mohan is a poet, then he is poor. (ii)If she works, she will earn money. (iii)It never rains when it is cold.

Write the converse of the following statements: (i)If a number is even then n^2 is even (ii)If you do all the exercises in the book, you get an A grade in the class.