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The least integer x that satisfies the inequality x^3>-30
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15 Nov 2019, 16:50
15 Nov 2019, 16:50
Expert Reply
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Question Stats:
50% (00:26) correct
50% (00:48) wrong based on 20 sessions
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Quantity A |
Quantity B |
The least integer x that satisfies the inequality \(x^3>-30\) |
\(-3\) |
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Kudos for the right answer and solution.
Re: The least integer x that satisfies the inequality x^3>-30
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28 Nov 2019, 07:35
28 Nov 2019, 07:35
1
The answer is C.
(-3)^3 = -27
(-4)^3 = -64
So -3 is the least integer whose cube is greater than -30.
(-3)^3 = -27
(-4)^3 = -64
So -3 is the least integer whose cube is greater than -30.
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Re: The least integer x that satisfies the inequality x^3>-30
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28 Nov 2019, 07:54
28 Nov 2019, 07:54
1
Carcass wrote:
Quantity A |
Quantity B |
The least integer x that satisfies the inequality \(x^3>-30\) |
\(-3\) |
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Kudos for the right answer and solution.
(-5)³ = -125.
-125 < -30
So, x =-5 does NOT satisfy the inequality x³ > -30
(-4)³ = -64.
-64 < -30
So, x =-4 does NOT satisfy the inequality x³ > -30
(-3)³ = -27.
-27 > -30
So, x =-4 DOES satisfy the inequality x³ > -30
So, x = -3 is the least integer that satisfies the inequality x³ > -30
We get:
QUANTITY A: -3
QUANTITY B: -3
Answer: C
Cheers,
Brent
