We read your photo as:

Define the set C = x ∈ ℝ | -2 ≤ x < -1 using interval notation.

Mathematics

ScanSolve AI Answer

Answer

C=[−2,−1)C = [-2, -1)

Step-by-step solution

2 steps

Here is the definition of set C.

  1. Understand the set definition.

    Set C is defined as the set of all xx such that xx is a real number (R\mathbb{R}) and xx is greater than or equal to -2 and less than -1.

    C={x∈R∣−2≤x<−1}C = \{x \in \mathbb{R} \mid -2 \leq x < -1\}
  2. Express the set using interval notation.

    The condition −2≤x-2 \leq x means that the interval includes the endpoint -2. This is represented by a square bracket [.
    The condition x<−1x < -1 means that the interval does not include the endpoint -1. This is represented by a parenthesis ).
    Combining these, the interval is from -2 (inclusive) to -1 (exclusive).

    C=[−2,−1)C = [-2, -1)

    The set C is the interval from -2 to -1, including -2 but not including -1.

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp