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What interval does this inequality represent?\newline-2 \leq x < 3\newlineChoices:\newline(A)(2,3](-2, 3]\newline(B)[2,3)[-2, 3)\newline(C)(2,3)(-2, 3)\newline(D)[2,3][-2, 3]

Full solution

Q. What interval does this inequality represent?\newline2x<3-2 \leq x < 3\newlineChoices:\newline(A)(2,3](-2, 3]\newline(B)[2,3)[-2, 3)\newline(C)(2,3)(-2, 3)\newline(D)[2,3][-2, 3]
  1. Identify Endpoints: Identify the endpoints of the interval for the inequality -2 \leq x < 3. The endpoints are 2-2 and 33.
  2. Check Inclusion: Check whether the endpoints are included in the interval. For 2x-2 \leq x, 2-2 is included in the interval, which is denoted by a closed bracket [ or a square bracket. For x < 3, 33 is not included in the interval, which is denoted by an open bracket ) or a parenthesis.
  3. Determine Interval: Determine the interval that the inequality -2 \leq x < 3 represents. Since 2-2 is included and 33 is not included, the interval is [2,3)[-2, 3).

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