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negative four is at least six less than a number & the sum of a negative two & nine times a number is less than seventy nine

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9 votes

Answer:

  • 2 ≤ x < 9 or x = [2, 9)

Explanation:

Negative four is at least six less than a number

  • -4 ≤ x - 6 ⇒ x ≥ 2

Sum of a negative two & nine times a number is less than seventy nine

  • -2 + 9x < 79 ⇒ 9x < 81 ⇒ x < 9

Combined inequality:

  • 2 ≤ x < 9 or x = [2, 9)
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