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How do I write this interval as an inequality: [6, ∞)?

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x ≥ 6. You're including the value of 6 in the function so it would be x ≥ 6. If you had the interval (6, ∞), you would write the inequality as x > 6 since you're going from 6 and getting larger and larger forever but you do not include 6.

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