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What interval does this inequality represent?\newlinex < 8\newlineChoices:\newline(A)(−∞,8)(-\infty, 8)\newline(B)[8,∞)[8, \infty)\newline(C)(8,∞)(8, \infty)\newline(D)(−∞,8](-\infty, 8]

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Full solution

Q. What interval does this inequality represent?\newlinex<8x < 8\newlineChoices:\newline(A)(−∞,8)(-\infty, 8)\newline(B)[8,∞)[8, \infty)\newline(C)(8,∞)(8, \infty)\newline(D)(−∞,8](-\infty, 8]
  1. Identify Endpoints: Identify the endpoints of the interval for the inequality x < 8. The endpoints are −∞-\infty and 88.
  2. Check Inclusion: Check whether the finite endpoint is included or not. In the inequality x < 8, 88 is not included in the interval.
  3. Determine Interval: Determine the interval that the inequality x < 8 represents. Since −∞-\infty cannot be included as it is not a finite value and 88 is not included, the interval is (−∞,8)(-\infty, 8).

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