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If 2(x – 1) 3 + 3 ≤ 19, which of the following must be true

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If 2(x – 1) 3 + 3 ≤ 19, which of the following must be true [#permalink] New post 23 Jul 2018, 10:26
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If \(2(x – 1)^3 + 3 \geq 19\), which of the following must be true?

(A) \(x \leq 3\)

(B) \(x \geq 3\)

(C) \(x \leq - 3\)

(D) \(x \geq - 3\)

(E) \(x < - 3\) or \(x > 3\)
[Reveal] Spoiler: OA

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Re: If 2(x – 1) 3 + 3 ≤ 19, which of the following must be true [#permalink] New post 25 Jul 2018, 19:46
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Carcass wrote:
If \(2(x – 1)^3 + 3 \geq 19\), which of the following must be true?

(A) \(x \leq 3\)

(B) \(x \geq 3\)

(C) \(x \leq - 3\)

(D) \(x \geq - 3\)

(E) \(x < - 3\) or \(x > 3\)



Given
\(2(x-1)^3 +3 \geq 19\)

\(2(x-1)^3 \geq 16\)

\((x-1)^3 \geq 8\)

\((x-1)^3 \geq 2^3\)

So, \(x-1 \geq 2\)

\(x \geq 3\)

The best answer is B.
Re: If 2(x – 1) 3 + 3 ≤ 19, which of the following must be true   [#permalink] 25 Jul 2018, 19:46
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If 2(x – 1) 3 + 3 ≤ 19, which of the following must be true

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