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What interval does this inequality represent?\newline4 \leq x < 8\newlineChoices:\newline(A) [4,8)[4, 8)\newline(B) [4,8][4, 8]\newline(C) (4,8](4, 8]\newline(D) (4,8)(4, 8)

Full solution

Q. What interval does this inequality represent?\newline4x<84 \leq x < 8\newlineChoices:\newline(A) [4,8)[4, 8)\newline(B) [4,8][4, 8]\newline(C) (4,8](4, 8]\newline(D) (4,8)(4, 8)
  1. Identify Endpoints: Identify the endpoints of the interval for the inequality 4 \leq x < 8. The endpoints are 44 and 88.
  2. Check Inclusion: Check whether the endpoints are included or not. In the inequality 4 \leq x < 8, 44 is included (as indicated by the "less than or equal to" symbol \leq), but 88 is not included (as indicated by the "less than" symbol <).
  3. Determine Interval: Determine the interval that the inequality 4 \leq x < 8 represents. Since 44 is included, we use a square bracket [ for 44. Since 88 is not included, we use a parenthesis ) for 88. The interval is therefore [4,8)[4, 8).

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