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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]  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]  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, $$x-1 \geq 2$$

$$x \geq 3$$

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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