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What interval does this inequality represent?\newlinex1x \geq -1\newlineChoices:\newline(A) (,1](-\infty, -1]\newline(B) (,1)(-\infty, -1)\newline(C) [1,)[-1, \infty)\newline(D) (1,)(-1, \infty)

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Q. What interval does this inequality represent?\newlinex1x \geq -1\newlineChoices:\newline(A) (,1](-\infty, -1]\newline(B) (,1)(-\infty, -1)\newline(C) [1,)[-1, \infty)\newline(D) (1,)(-1, \infty)
  1. Identify Endpoints: Identify the endpoints of the interval for the inequality x1x \geq -1. The endpoints are -\infty and 1-1.
  2. Check Inclusion: Check whether the finite endpoint is included or not. In the inequality x1x \geq -1, 1-1 is included in the interval because the inequality is greater than or equal to.
  3. Determine Interval: Determine the interval that the inequality x1x \geq -1 represents. Since -\infty cannot be included as it is not a finite value and 1-1 is included, the interval is [1,)[-1, \infty).

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