How would you write {9, 10, 11, ....} in set builder notation?
{x| x ≥ 11 and x ∈ ℕ}
{x| x ≤ 11 and x ∈ ℕ}
{x| x ≥ 9 and x ∈ ℕ}
How would you write {...-3, -2, -1, 0, 1, 2} in set builder notation?
{x| x ≤ 11 and x ∈ ℕ}
{x| x 9 and x ∈ ℕ}
{x| x ≥ 11 and x ∈ ℕ}
Is this a true statement? 12 ∈ {9, 10, 11, ....} Why or why not?
No, because the set only goes to 11
Yes, because the dots show that the set goes past 11
Yes, because the dots show that the set is all Natural numbers
Is this a true statement: 2 ∉ {9, 10, 11, ....}? Why or why not?
Yes, because 2 is not an element of the set, the set starts at 9 and goes up.
No, because the set starts at 9 and goes up.
No, because 2 is not a Natural Number.
Is this a true statement: 9.5 ∈ {9, 10, 11, ....}? Why or why not?
Yes, because 9.5 is an element of the set, the set starts at 9 and goes up.
No, because 9.5 is not a Natural Number, and the pattern shows only natural numbers.
No, because the set starts at 11 and goes up.