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
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x = n2 - 1
When n = 3
⇒ x = 32 - 1
⇒ x = 9 - 1 = 8
When n = 4
⇒ x = 42 - 1
⇒ x = 16 - 1 = 15
When n = 5
x = 52 - 1
⇒ x = 25 - 1 = 24
{x : x = n2 - 1, x ∈ Z (integers) and 2 ≤ n ≤ 5} = {8, 15, 24}
Hence, option 1 is the correct option.
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{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}
Write the following set in roster (Tabular) form :
A1 = {x : 2x + 3 = 11}