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