Sets 2
3 marks · EasyWrite these sets using set-builder notation:
The set of natural numbers greater than 6.
The set of all even numbers.
The set of integers between −2 and 3 (inclusive).
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(a) {x : x > 6, x ∈ ℕ}
(b) {x : x is even, x ∈ ℤ}
(c) {x : −2 ≤ x ≤ 3, x ∈ ℤ}
Common mistakes: Using wrong set symbols; Omitting variable restrictions
Show mark scheme and worked solution
Marking points
A1 (a) · 1 mark · Correct set-builder notation for natural numbers >6.
A2 (b) · 1 mark · Correct set-builder notation for even numbers.
A3 (c) · 1 mark · Correct set-builder notation for specified integers.
Worked solution
a) {x : x > 6, x ∈ ℕ}
b) {x : x is even, x ∈ ℤ}
c) {x : −2 ≤ x ≤ 3, x ∈ ℤ}