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What interval does this inequality represent?\newline-4 < x \leq 1\newlineChoices:\newline(A)(4,1)(-4, 1)\newline(B)(4,1](-4, 1]\newline(C)[4,1)[-4, 1)\newline(D)[4,1][-4, 1]

Full solution

Q. What interval does this inequality represent?\newline4<x1-4 < x \leq 1\newlineChoices:\newline(A)(4,1)(-4, 1)\newline(B)(4,1](-4, 1]\newline(C)[4,1)[-4, 1)\newline(D)[4,1][-4, 1]
  1. Identify Endpoints: Identify the endpoints of the interval for the inequality -4 < x \leq 1. The endpoints are 4-4 and 11.
  2. Check Inclusion: Check whether the endpoints are included or not. In the inequality -4 < x \leq 1, 4-4 is not included because the inequality is strict (<), but 11 is included because the inequality is non-strict (\leq).
  3. Determine Interval: Determine the interval that the inequality -4 < x \leq 1 represents. Since 4-4 is not included, we use a parenthesis (\. Since 11 is included, we use a bracket ]. Therefore, the interval is (4,1](-4, 1].

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