Check whether the following sentences are statements. Give reasons for your answer.
`{:("(i) 8 is less than 6"," (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 following statements are true or false. Give reasons for your answers. (i) Every natural number is a whole number. (ii) Every integer is a whole number. (iii) Every rational number is a whole number.

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

Which of the following statements are true and which are false? Give reasons for your answer. (i) Only one line can pass through a single point. (ii) There are infinite number of lines which pass through two distinct points. (iii) A terminated line can be produced indefinitely on both the sides. (iv) If two circles are equal, then their radii are equal. (v) In given fig., AB=PQ and PQ=XY , then AB=XY .

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 which of the following sets are finite and which are finited. 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}

State whether the followmg sets are finite or infinite. (i) The set of months in a year. (ii) {1,2,3, ..., 99, 100) (iii) The set of prior 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).

State whether each of the following statements is true or false. Justify your answers. (i) {2,3,4,5} and {3,6} are disjoint sets. (ii) {a,e,I,o,u} and {a,b,c,d} are disjoint sets. (iii) {2,6,10,14} and {3,7,11,15} are disjoint sets. (iv) {2,6,10} and {3,7,11} are disjoint sets.