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anonymous

  • 4 years ago

Hi, how do I express the set R− in interval notation? I know R is the set of all real numbers, but what is R− ?

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  1. anonymous
    • 4 years ago
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    all negative real numbers

  2. anonymous
    • 4 years ago
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    Oh, so R is only all *positive* real numbers?

  3. anonymous
    • 4 years ago
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    So in interval notation, it would be (-inf, 0) ?

  4. anonymous
    • 4 years ago
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    (-inf,0)

  5. JamesJ
    • 4 years ago
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    The interval you've written is correct. \[ \mathbb{R} \] however is all real numbers: positive, negative and zero.

  6. anonymous
    • 4 years ago
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    if it's just R then it's all numbers if it's R+ then positive, R- negative

  7. JamesJ
    • 4 years ago
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    \[ \mathbb{R}^+ = (0, \infty) \] \[ \mathbb{R}^+ = (-\infty, 0) \] \[\mathbb{R}_{\geq 0} = [0, \infty)\]

  8. JamesJ
    • 4 years ago
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    *correction (sorry!) \[ \mathbb{R}^- = (-\infty, 0) \]

  9. anonymous
    • 4 years ago
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    thanks tomas and jamesj, it makes sense now

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