Question 16 of 47beginner🔧 ApplyVery Short2 marks
Write the following as intervals:
(i)
{x : x ∈ R, –4 < x 6}
Answer
(-4, 6]
(ii)
{x : x ∈ R, –12 < x < –10}
Answer
(-12, -10)
(iii)
{x : x ∈ R, 0 x < 7}
Answer
[0, 7)
(iv)
{x : x ∈ R, 3 x 4}
Answer
[3, 4]
Explanation
To convert set-builder form to interval notation, we need to identify whether the endpoints are included or excluded based on the inequality symbols used. When '<' or '>' is used, the endpoint is excluded (open interval, shown by parenthesis). When '' or '' is used, the endpoint is included (closed interval, shown by square bracket).