{x : x ∈ Z and x2 - 4x = 0} is equal to :
{4}
{0, 4}
{0, 2}
{2, 4}
48 Likes
x2 - 4x = 0
⇒ x(x - 4) = 0
⇒ x = 0 or (x - 4) = 0
⇒ x = 0 or x = 4
{x : x ∈ Z and x 2 - 4x = 0} = {0, 4}
Hence, option 2 is the correct option.
Answered By
25 Likes
{x : x ∈ Z and x2 = 9} is equal to :
{3}
{0, 3}
{0, -3}
{-3, 3}
If set A = {x : x ∈ N, x = n - 3, n ∈ N and n < 3}, then set A is :
{-3, -2, -1, 0, 2}
{ }
{-3, -2, -1}
{0, -1, -2, -3}
Set {x : x = n2 - 1, x ∈ Z (integers) and 2 < n ≤ 5} is equal to :
{8, 15, 24}
{3, 8, 15}
{3, 8, 15, 24}
none of these