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The least integer x that satisfies the inequality x^3>-30

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Carcass
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The least integer x that satisfies the inequality x^3>-30 [#permalink] New post   15 Nov 2019, 16:50
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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

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C
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Nishan
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Re: The least integer x that satisfies the inequality x^3>-30 [#permalink] New post   28 Nov 2019, 07:35
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The answer is C.

(-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 [#permalink] New post   28 Nov 2019, 07:54
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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
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Re: The least integer x that satisfies the inequality x^3>-30 [#permalink]
28 Nov 2019, 07:54
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