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2y^5<y^4
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14 Sep 2021, 08:19
14 Sep 2021, 08:19
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\(2y^5<y^4\)
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
Quantity A |
Quantity B |
1 |
y |
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
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2y^5<y^4
[#permalink]
14 Sep 2021, 08:57
14 Sep 2021, 08:57
1
RA911 wrote:
\(2y^5<y^4\)
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
Quantity A |
Quantity B |
1 |
y |
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
Given: \(2y^5<y^4\)
Note: This tells us that y ≠ 0 (otherwise it would be the case that \(2y^5=y^4\) .
If y ≠ 0, then we know that \(y^4\) is POSITIVE, which means we can safely divide both sides of the inequality by \(y^4\) to get: \(2y<1\)
Now divide both sides of the inequality by \(2\) to get: \(y<\frac{1}{2}\)
If \(y<\frac{1}{2}\), then we can be certain that y is less than 1
Answer: A
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General Discussion
Re: 2y^5<y^4
[#permalink]
14 Sep 2021, 08:57
14 Sep 2021, 08:57
1
\(2y^5 < y^4\)
= \(2y < 1\)
= \(y < 1/2\)
So Quantity A is larger
Answer is A)
= \(2y < 1\)
= \(y < 1/2\)
So Quantity A is larger
Answer is A)
