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If 2(x – 1) 3 + 3 ≤ 19, which of the following must be true
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23 Jul 2018, 10:26
23 Jul 2018, 10:26
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Question Stats:
87% (01:03) correct
12% (01:05) wrong based on 106 sessions
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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 \(x > 3\)
(A) \(x \leq 3\)
(B) \(x \geq 3\)
(C) \(x \leq - 3\)
(D) \(x \geq - 3\)
(E) \(x < - 3\) or \(x > 3\)
Re: If 2(x – 1) 3 + 3 ≤ 19, which of the following must be true
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25 Jul 2018, 19:46
25 Jul 2018, 19:46
1
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 \(x > 3\)
(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.
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Re: If 2(x – 1) 3 + 3 ≤ 19, which of the following must be true
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28 Dec 2021, 01:41
28 Dec 2021, 01:41
1
Given that \(2(x – 1)^3 + 3 \geq 19\) and we need to find the range of values of x
\(2(x – 1)^3 \geq 19 - 3\)
=> \((x – 1)^3 \geq \frac{16}{2}\)
=> \((x – 1)^3 \geq 2^3\)
=> \((x – 1) \geq 2\)
=> \(x \geq 2 + 1\)
=> \(x \geq 3\)
So, Answer will be B
Hope it helps!
Watch the following video to learn the Basics of Inequalities
\(2(x – 1)^3 \geq 19 - 3\)
=> \((x – 1)^3 \geq \frac{16}{2}\)
=> \((x – 1)^3 \geq 2^3\)
=> \((x – 1) \geq 2\)
=> \(x \geq 2 + 1\)
=> \(x \geq 3\)
So, Answer will be B
Hope it helps!
Watch the following video to learn the Basics of Inequalities
