Home
Class 11
MATHS
Identify the quantifier in the following...

Identify the quantifier in the following statements :
(i) there exists r real number which is equal to its 4 times.
(ii) for every real number `x,x-2` is less than x.

Text Solution

AI Generated Solution

To identify the quantifiers in the given statements, we will analyze each statement step by step. ### Step 1: Analyze the first statement The first statement is: "there exists r real number which is equal to its 4 times." - In this statement, we are looking for a specific type of quantifier that indicates the existence of at least one real number that satisfies the condition of being equal to its four times. - The phrase "there exists" is a key indicator that we are talking about existence. ...
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 14A|1 Videos

  • MATHEMATICAL REASONING

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 14B|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

Identify the quantifier in the following statement : "For all real numbers x and y, xy=yx"

Identify the quantifier in the following statement, For every real number x, x is less than x + 1

Identify the quantifier in the following statements and write the negation of the statements. (i) There exists a number which is equal to its square. (ii) For every real number x, x is less than x" "+" "1

Identify the quantifier in the following statements and write the negation of the statements.(i) There exists a number which is equal to its square.(ii) For every real number x, x is less than x + 1 .(iii) There exists a capital for every state in india.

Identify the quantifiers in the following statements. (i) There exists a triangle which is not equilateral. (ii) For all real numbers x and y , xy = yx. (iii) There exists a real number which is not a rational number . (iv) For every natural number which x,x + 1 is also a natural number. (v) For all real number x with x gt 3 , x^(2) is greater than 9. (vi) There exist a traingle which is not an isosceles traingle. (vii) For all negative x,x^(3) is also a nagative integers. (viii) There exists a statements in above statements which is not true. (ix) There exists an even prime number other thab 2. (x) There exists a real number x such that x^(2) + 1=0

Identify the quantifier in the following statements and write the negation of the statements. There exists a number which is equal to its square.

Identify the quantifier in the following statement and write the negation of the statement (i) p : For every negative number x,x-2 is smaller than x (ii) q : There exists a rational number whose sqaure is smaller than the number (iii) r : For every real number , there is a position on number line

Write the negation of each of the following statements: (i) For every real number x, x+0=x=0+x (ii) For every real number, x , x is less than x+1

Identify the quantifier in the following statement and write the negation of the statements (i) p : For every real number x,5x is greater than 5 (ii) q : There exists a prime number which is even (iii) r : For every positive interger x,x+2, is a positive interger (iv) s : For every planet there is a moon (v) t : There exists a rhombus whose all angle is 90^@

Identify the quantifier in each of the following statements: (i)For every real number x ,\ x+4 is greater then xdot (ii)There exists a real number which is twice of itself. (iii)There exists a (living) person who is 200 years old. (iv)For every x in NN ,\ x+1> xdot