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If X Stands For The Greatest Integer Function Then The Value Of 1 5 1 1000 1 5 2 1000 1 5 999 1000 Is

Solution: (4) [(1/5) + (1 / 1000)] + [(1/5) + (2 / 1000)] +……+ [(1/5) + (999 / 1000)] =... View Article

Solution: (4) Now take x = 0 = y f (0) = f (0) f (0) – f (3) (3)... View Article

1) [5,9] 2) (5,9] 3) (- ∞, 5] ⋃ [9, ∞) 4) (- ∞, 5) ⋃ (9, ∞) Solution: (3)... View Article

Solution: (2) Let x = tan θ, x ∈ (-1, 1) θ ∈ (-π / 4, π / 4) tan-1... View Article

Solution: (3) R = {(x, y) / x + 2y = 8} x = 1, 2, 3, 4, 5, 6,... View Article

The relation R defined on the let A = {1,2,3,4,5} by R = {(x, y) / | x2 – y2... View Article

Solution: (4) n / m: n is a factor of m Reflexive: n / m: n is a factor of... View Article

A = [-1, 1], B = [0, 1], C = [-1, 0] S1 = {(x, y) / x2 + y2... View Article

Solution: (2) R = {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2),... View Article

Solution: (1) (x, y) ∈ S, (y, z) ∈ S xy ≥ 0, yz ≥ 0 (x, y) (y, z)... View Article

1) (x, y) ∈ S ⇔ x ≥ y 2) (x, y) ∈ S ⇔ x = y 3) (x, y) ∈... View Article

Solution: (2) Reflexive: (m, m) ∈ R, (n, n) ∈ R Symmetric: (2, 6) ∈ R, (m, n) ∈ R,... View Article

Solution: (3) The values of x becomes 0, ± 1, ± 2….. Domain of R = {0, ± 1, ±... View Article

1) aR1b ⇔ |a| = |b| 2) aR2b ⇔ a ≥ b 3) aR3b ⇔ a divides b 4) aR4b... View Article

Solution: (4) R is Reflexive (a, b) R (c, d) and (c, d) R (e, f) a + d =... View Article

Solution: (3) R is reflexive when (a, a), (b, b), (c, c) ∈ R If (b, a) , (c, b)... View Article

Solution: (2) The given relation is R = {(x, y) ∈ W × W : the words x and y... View Article

Solution: A = {2, 4, 6} B = {2, 3 ,5} If set A has m elements and set B... View Article

Let R be the real line consider the following subsets of the plane R × R ,S = {(x, y)... View Article

1) R = {(0,3), (0,-3), (3,0), (-3,0)} 2) Domain of R = {-3,0,3} 3) Range of R = {-3,0,3} 4)... View Article