Answer:
Set notation: { x ∈ ℝ | -25 < x < 30 }
Interval notation: (-25, 30)
Step-by-step explanation:
In set notation,
"x ∈ ℝ" means "x is an element of all real numbers"
you then write the restrictions after that, which would be "-25 < x < 30"
this gives you { x ∈ ℝ | -25 < x < 30 },
"x is an element of all real numbers, such that x is larger than -25 and less than 30"
In interval notation, it is written as (-25, 30). The parentheses mean that the interval does not include the numbers -25 or 30.
If the interval does include those numbers, i.e. if it was "-25 ≤ x ≤ 30" instead of "-25 < x < 30" you would use brackets instead of parentheses,
giving you {-25, 30}.
