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}

Identify the following sets as finite or infinite. B = {x:x^(2)-5x+6=0,x inNN}

State which of the following sets are finite or infinite : (i) { x : x ∈ N and (x – 1) (x –2) = 0 } (ii) { x : x ∈ N and x^(2) = 4 } (iii) { x : x ∈ N and 2x –1 = 0 } (iv) { x : x ∈ N and x is prime} (v) { x : x ∈ N and x is odd}

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)

State whether the following statement is true or false. Give reasons for your choice. The coefficient of x^(2) in the polynomial p(x)=3x^(3)-4x^(2)+5x+7 is 2

Identify the following sets as finite or infinite. (i) X=The set of all districts in Tamilnadu. (ii) Y=The set of all straight lines passing through a point. (iii) A={x : x in Z and x lt 5} (iv) B={x: x^(2)-5x+6=0, x in N}

If X = {1,2,3,4,5}, Y = {1,3,5,7,9} determins which of the following relations from X to Y are functions ? Give reasonfor your answer. If it is a function. State its type. (i) R_(1) = {(x,y) | y = x + 2, x in X , y in Y } (ii) R_(2) = {(1,1),(2,1),(3,3),(4,3),(5,5)} (iii) R_(3) { (1,1),(1,3),(3,5),(3,7),(5,7)} (iv) R_(4) {(1,3),(2,5),(4,7),(5,9),(3,1)}

State the reasons for the following : (i) {1,2,3.....10} ne {x : x ∈ N and 1 lt x lt 10} (ii) {2,4,6,8,10} ne {x: x =2n+1 and x ∈ N} (iii) {5,15,30,45} ne {x : x is a multiple of 15} (iv) {2,3,5,7,9} ne {x : x is a prime number}

Which of the following pairs of sets are equal? Justify your answer. (i) X, the set of letters in “ALLOY” and B, the set of letters in “LOYAL”. (ii) A = {n : n ∈ Z and n^(2) ≤ 4} and B = {x : x ∈ R and x^(2) – 3x + 2 = 0} .