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What interval does this inequality represent?\newline-5 \leq x < 2\newlineChoices:\newline(A)[5,2][-5, 2]\newline(B)(5,2](-5, 2]\newline(C)(5,2)(-5, 2)\newline(D)[5,2)[-5, 2)

Full solution

Q. What interval does this inequality represent?\newline5x<2-5 \leq x < 2\newlineChoices:\newline(A)[5,2][-5, 2]\newline(B)(5,2](-5, 2]\newline(C)(5,2)(-5, 2)\newline(D)[5,2)[-5, 2)
  1. Identify Endpoints: Identify the endpoints of the interval for the inequality -5 \leq x < 2. The endpoints are 5-5 and 22.
  2. Check Inclusion: Check whether the endpoints are included in the interval. For 5x-5 \leq x, 5-5 is included because of the "less than or equal to" sign (\leq). For x < 2, 22 is not included because of the "less than" sign (<).
  3. Determine Interval: Determine the interval that the inequality -5 \leq x < 2 represents. Since 5-5 is included, we use a square bracket [[ for 5-5. Since 22 is not included, we use a parenthesis )) for 22. The interval is [5,2)[-5, 2).

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