What is the solution to the inequality \(6 - 4(6n + 7) \geq 122\)?
Answer (2)
6 − 4 ( 6 n + 7 ) ≥ 122 6 − 24 n − 28 ≥ 122 − 24 n ≥ 122 − 6 + 28 − 24 n ≥ 143 ∣ : − 24 ≤ − 6 ∈ ( − ∞ , − 6 ⟩
The solution to the inequality 6 − 4 ( 6 n + 7 ) ≥ 122 is n ≤ − 6 . In interval notation, this is expressed as n ∈ ( − ∞ , − 6 ] . Values of n that are less than or equal to -6 satisfy the inequality.
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