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If a = -0.3, which of the following is true?
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28 May 2020, 07:13
28 May 2020, 07:13
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52% (00:39) correct
47% (00:32) wrong based on 84 sessions
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If \(a = -0.3\), which of the following is true?
(A) \(a < a^2 < a^3\)
(B) \(a < a^3 < a^2\)
(C) \(a^2 < a < a^3\)
(D) \(a^2 < a^3 < a\)
(E) \(a^3 < a < a^2\)
(A) \(a < a^2 < a^3\)
(B) \(a < a^3 < a^2\)
(C) \(a^2 < a < a^3\)
(D) \(a^2 < a^3 < a\)
(E) \(a^3 < a < a^2\)
Re: If a = -0.3, which of the following is true?
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28 May 2020, 07:13
28 May 2020, 07:13
Expert Reply
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
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Re: If a = -0.3, which of the following is true?
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28 May 2020, 08:22
28 May 2020, 08:22
1
Carcass wrote:
If \(a = -0.3\), which of the following is true?
(A) \(a < a^2 < a^3\)
(B) \(a < a^3 < a^2\)
(C) \(a^2 < a < a^3\)
(D) \(a^2 < a^3 < a\)
(E) \(a^3 < a < a^2\)
(A) \(a < a^2 < a^3\)
(B) \(a < a^3 < a^2\)
(C) \(a^2 < a < a^3\)
(D) \(a^2 < a^3 < a\)
(E) \(a^3 < a < a^2\)
If a = -0.3, then:
a = -0.3
a² = (-0.3)(-0.3) = 0.09
a³ = (-0.3)(-0.3)(-0.3) = -0.027
If we order these values, we get: -0.3 < -0.027 < 0.09
In other words, a < a³ < a²
Answer: B
Cheers,
Brent
