Question

Given what is the range in set notation?


{y|y ∈ R, y ≥
}

Answer 1

It looks like part of the problem is missing. The template you wrote,

{ y | y ∈ R, y ≥ ___ }

means “the set of all real y that are greater than or equal to (some number).” To finish it you need the lowest y-value (call it k) in the range. Examples:

- If the range is all real numbers ≥ 0: { y | y ∈ R, y ≥ 0 }
- If the range is all real numbers ≥ −2: { y | y ∈ R, y ≥ −2 }
- If the range is all real numbers (no bound): { y | y ∈ R } or equivalently (using interval notation) (−∞, ∞)

Tell me the function, graph or the missing lower bound and I’ll give the exact set-notation range.