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What interval does this inequality represent?\newlinex < 5\newlineChoices:\newline(A) (−∞,5](-\infty, 5]\newline(B) (−∞,5)(-\infty, 5)\newline(C) [5,∞)[5, \infty)\newline(D) (5,∞)(5, \infty)

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Full solution

Q. What interval does this inequality represent?\newlinex<5x < 5\newlineChoices:\newline(A) (−∞,5](-\infty, 5]\newline(B) (−∞,5)(-\infty, 5)\newline(C) [5,∞)[5, \infty)\newline(D) (5,∞)(5, \infty)
  1. Identify Endpoints: Identify the endpoints of the interval for the inequality x < 5. The endpoints are −∞-\infty and 55.
  2. Check Inclusion: Check whether the finite endpoint is included or not. In the inequality x < 5, 55 is not included in the interval.
  3. Determine Interval: Determine the interval that the inequality x < 5 represents. Since −∞-\infty cannot be included as it is not a finite value and 55 is not included, the interval is (−∞,5)(-\infty, 5).

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