Check whether the following sentences are statements. Give reasons for your answer.
`{:("(i) 8 is less than"," (ii) Every set is a finite set. "),("(iii) The sun is a star. ","(iv) Mathematics is fun. "),("(v) There is no rain without clouds. ","(vi) How far is Chennai from here?"):}`

State whether the ''Or'' used in the following statements is ''exclusive ''or'' inclusive. Give reasons for your answer. Sun rises or Moon sets.

Write whether the following statements are True or False. Justify your answer (i) A binomial has two terms (ii) Every polynomial is a binomial (iii) A binomial may have degree 3 (iv) Degree of zero polynomial is zero (v) The degree of x ^(2) + 2xy + y ^(2) is 2 (vi) pi r ^(2) is a monomial.

State whether the following statements are true or false. Justify your answer (i) 5 cancel(in) set of prime numbers (ii) S={5,6,7} implies 8 in S. (iii) -5 cancel(in)W where 'W' is the set of whole numbers (iv) 8/(11) in Z where's 'Z' is the set of integers.

State whether the following sets are finite or infinite. (i) The set of months in a year. (ii) {1,2,3, ..., 99, 100) (iii) The set of prime numbers smaller than 99. (iv) The set of letters in the English alphabet. (v) The set of lines that can be drawn are parallel to the X-Axis (vi) The set of numbers which are muitiplies of 5. (vii) The set of circles passing through the origin (0,0).

Which of the following are statement? (i) 7 +2 lt 10 (ii) Set of rational numbers is finite (iii) How beautiful you are (iv) wish you all the best

State which of the following sets are finite and which are infinite. Give reasons for your answer. (i) A={ x : x in N and x lt 100} (ii) B={x : x in N and x le 5} (iii) C={1^(2), 2^(2), 3^(2),....} (iv) D={1,2,3,4} (v) {x : x is a day of the week}

Which of the following statements regarding biodiversity hotspots are incorrect? (i) High endemism (ii) High level of species richness (iii) Total number is 34 in the world (iv) Five of these occur in India (v) High alien species invasion (vi) Cover less than 2% of the earth's land area, but if properly conserved, they can reduce extinctions by about 30% (a) (i) and (ii) (b) (iv) and (v) (c) iv), (v) and (vi) (d) (iii), (iv), (v) and (vi)

Which of the following expressions are polynomials in one variable and which are not ? Give reasons for you answer. (i) 3x ^(2) - 2x + 5 (ii) x ^(2) + sqrt2 (iii) p^(2) - 3p +q (iv) y + (2)/(y) (y ne 0) (v) 5 sqrtx + x sqrt5 (vi) x ^(100) + y ^(100)

Which of the following are sets? Justify your answer (i) The collection of all the months of a year begimng with the letter "J". (ii) The collection of ten most talented writers of India. (iii) A team of eleven best cricket batsmen of the world. (iv) The collectionofall boys in your class. (v) The collection of all even integers.