Home
Class 11
MATHS
Find the component statements of the fol...

Find the component statements of the following and check whether they are true or not.(i) A square is a quadrilateral and its four sides equal(ii) All prime numbers are either even or odd

Text Solution

AI Generated Solution

To solve the problem, we need to analyze the given compound statements, break them down into their component statements, and then check the truth value of each component statement. ### Step-by-Step Solution: **(i) Statement: A square is a quadrilateral and its four sides are equal.** 1. **Identify the component statements:** - Let \( P \): "A square is a quadrilateral." ...
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    NCERT ENGLISH|Exercise MISCELLANEOUS EXERCISE|7 Videos
  • MATHEMATICAL REASONING

    NCERT ENGLISH|Exercise EXERCISE 14.5|5 Videos
  • LINEAR INEQUALITIES

    NCERT ENGLISH|Exercise EXERCISE 6.2|10 Videos
  • PERMUTATIONS AND COMBINATIONS

    NCERT ENGLISH|Exercise EXERCISE 7.1|6 Videos

Similar Questions

Explore conceptually related problems

Find the component statement of the following and check whether they are true or not: all primes are either even or odd.

Find the component statement of the following and check whether they are true or not: 24 is a multiple of 2,4, and 8.

Find the component statement of the following and check whether they are true or not: All integer are positive or negative.

Find the component statements of the following compound statements and check whether they are true or false.(i) Number 3 is prime or it is odd.(ii) All integers are positive or negative.(iii) 100 is divisible by 3, 11 and 5.

Find the component statements of the following compound statements and check whether they are true or false. (i) sqrt(5) is a rational number or an irrational number. (ii) Chandigarh is the capital of haryana and punjab. (iii) a multiple of 2,4 and 6 is 16. (iv) a sequare is a quadrilateral and all 4 sides of it are equal. (v) all integers are positive or negative.

Find the component of the following compound statement and check whether they are true or not: sqrt(2) is a rational number or an irrational number.

Write the component statements of each of the following statements. Also, check whether the statements are true or not. (i)If a triangle ABC is equilateral then it is isosceles. (ii)If a\ a n d\ b are integers, then a b is a rational number.

Check whether the statement is true or not: " 8 is a prime number."

The negation of the statement All prime integers are either even or odd " is

Write the component statements of the following compound statements and check whether they are true of false. (i) a multiple of 9 and 12 is 18. (ii) all sides of equilateral triangle are equal and each angle is 60^@ . (iii) All angles and all sides of a rectangle are equal. (iv) 0 is smaller than 1 and greater than -1 .