State whether the following statements are true or false. Justify your answers. (i) Every irrational number is a real number. (ii) Every point on the number line is of the form √m , where m is a natural number. (iii) Every real number is an irrational number

Question

State whether the following statements are true or false. Justify your answers.  (i) Every irrational number is a real number.  (ii) Every point on the number line is of the form √m , where m is a natural number.  (iii) Every real number is an irrational number

cdquestions Admin · Accepted Answer

(i) True; since the collection of real numbers is made up of rational and irrational numbers. (ii) False; as negative numbers cannot be expressed as the square root of any other number. (iii) False; as real numbers include both rational and irrational numbers. Therefore, every real number cannot be an irrational number.

Length (in hours)	Number of lamps
300 − 400	14
400 − 500	56
500 − 600	60
600 − 700	86
700 − 800	74
800 − 900	62
900 − 1000	48

Length (in hours)	Number of lamps
300 − 400	14
400 − 500	56
500 − 600	60
600 − 700	86
700 − 800	74
800 − 900	62
900 − 1000	48

State whether the following statements are true or false. Justify your answers.
(i) Every irrational number is a real number.
(ii) Every point on the number line is of the form √m , where m is a natural number.
(iii) Every real number is an irrational number

Solution and Explanation

Top CBSE Class IX Mathematics Questions

Top CBSE Class IX Questions