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What interval does this inequality represent?\newlinex>4x > 4\newlineChoices:\newline(A)(4,∞)(4, \infty)\newline(B)(−∞,4](-\infty, 4]\newline(C)[4,∞)[4, \infty)\newline(D)(−∞,4)(-\infty, 4)

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Full solution

Q. What interval does this inequality represent?\newlinex>4x > 4\newlineChoices:\newline(A)(4,∞)(4, \infty)\newline(B)(−∞,4](-\infty, 4]\newline(C)[4,∞)[4, \infty)\newline(D)(−∞,4)(-\infty, 4)
  1. Identify Endpoints: Identify the endpoints of the interval for the inequality x>4x > 4. The endpoints are 44 and ∞\infty.
  2. Check Inclusion: Check whether the finite endpoint is included or not. In the inequality x>4x > 4, 44 is not included in the interval.
  3. Determine Interval: Determine the interval that the inequality x>4x > 4 represents. Since ∞\infty cannot be included as it is not a finite value and 44 is not included, the interval is (4,∞)(4, \infty).

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