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\(x^3< 64\)
Quantity A 
Quantity B 
\(x\) 
\(x\) 
A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given. Kudos for R.A.E
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Carcass wrote: \(x^3< 64\)
Quantity A 
Quantity B 
x 
x 
Let's test some possible values of x CASE 1Since  0³ < 64, x COULD equal 0We get: Quantity A:  0Quantity B:  0 Evaluate to get: Quantity A: 0 Quantity B: 0 In this case, the two quantities are EQUAL CASE 2Since ( 1)³ < 64, x COULD equal 1We get: Quantity A: ( 1) Quantity B:  1 Evaluate to get: Quantity A: 1 Quantity B: 1 In this case, Quantity A IS GREATER Answer: D Cheers, Brent
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Carcass wrote: \(x^3< 64\)
Quantity A 
Quantity B 
x 
x 
A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given. Kudos for R.A.E30 sec approach : It's impossible to determine the sign of a variable that keeps inside the absolute value sign. X could be positive or negative. U will get know definite value of x. The best answer is D.



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I selected option B because x = x. How is it the D? I still do not understand. Could anyone further explain both question and answer? Thank you.
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ajbozdar wrote: I selected option B because x = x.
How is it the D? I still do not understand. Could anyone further explain both question and answer?
Thank you. It is not always the case that x = x If x is a POSITIVE number, then x = x For example, if x = 2, we get: 2 = 2 Simplify to get: 2 = 2 However, if x is a NEGATIVE number, then it is NOT the case that x = x For example, if x = 3, we get: 3 = (3) Simplify to get: 3 = 3, which is NOT TRUE Does that help? Cheers, Brent
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GreenlightTestPrep wrote: However, if x is a NEGATIVE number, then it is NOT the case that x = x For example, if x = 3, we get: 3 = (3) Simplify to get: 3 = 3, which is NOT TRUE
Does that help?
I have learnt that any negative number under mod becomes positive. If so, 3 = (3) i.e. = 3 Did I learn the wrong concept of absolute value?
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ajbozdar wrote: GreenlightTestPrep wrote: However, if x is a NEGATIVE number, then it is NOT the case that x = x For example, if x = 3, we get: 3 = (3) Simplify to get: 3 = 3, which is NOT TRUE
Does that help?
I have learnt that any negative number under mod becomes positive. If so, 3 = (3) i.e. = 3 Did I learn the wrong concept of absolute value? You learned the correct concept. In my solution, you'l see that I also state that 3 = (3) = 3 Cheers, Brent
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Yes. Regards
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is it possible to have negative sign in absolut value









