Theory:
The standard form of set-builder notation is
{ x | “x satisfies a condition” }
This set-builder notation can be read as “the set
of all x such that x (satisfies the condition)”.
For example, { x | x > 0 } is
equivalent to “the set of all x such that x is greater than 0”.
Solution:
In the problem, there are 2 conditions that must
be satisfied:
1st: x must be a real number
In the notation, this is written as “x ε R”.
Where ε means that x is “a member of” and R means “Real number”
2nd: x is greater than or equal to 1
This is written as “x ≥ 1”
Answer:
Combining the 2 conditions into the set-builder
notation:
X =
{ x | x ε R and x ≥ 1 }
