Class 8 Exam > Class 8 Questions > A rational number, p < 1, then,a)p3> 1b...
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A rational number, p < 1, then,
- a)p3 > 1
- b)p3 < 0
- c)p3 < p
- d)p3 > p
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A rational number, p < 1, then,a)p3> 1b)p3< 0c)p3< pd)p3&g...
If, 0 < p < 1,
then, p3 < p.
then, p3 < p.
Most Upvoted Answer
A rational number, p < 1, then,a)p3> 1b)p3< 0c)p3< pd)p3&g...
Explanation:
Rational number p < />
Given that p is a rational number and p < />
Comparing p^3 with p
When we compare p^3 with p, we need to consider the following cases:
a) p^3 > p
If p^3 is greater than p, it would mean that raising a number less than 1 to the power of 3 results in a value greater than the original number. This is not possible as raising a number less than 1 to a power greater than 1 will always result in a value less than the original number.
b) p^3 < />
If p^3 is less than p, it would mean that raising a number less than 1 to the power of 3 results in a value less than the original number. This is possible as when a number less than 1 is raised to a power greater than 1, the value decreases.
c) p^3 < />
Based on the explanation above, this is the correct statement. When a rational number p is less than 1, raising it to the power of 3 will result in a value less than the original number.
d) p^3 > p
This statement is not true as explained earlier. Raising a rational number less than 1 to the power of 3 will not result in a value greater than the original number.
Rational number p < />
Given that p is a rational number and p < />
Comparing p^3 with p
When we compare p^3 with p, we need to consider the following cases:
a) p^3 > p
If p^3 is greater than p, it would mean that raising a number less than 1 to the power of 3 results in a value greater than the original number. This is not possible as raising a number less than 1 to a power greater than 1 will always result in a value less than the original number.
b) p^3 < />
If p^3 is less than p, it would mean that raising a number less than 1 to the power of 3 results in a value less than the original number. This is possible as when a number less than 1 is raised to a power greater than 1, the value decreases.
c) p^3 < />
Based on the explanation above, this is the correct statement. When a rational number p is less than 1, raising it to the power of 3 will result in a value less than the original number.
d) p^3 > p
This statement is not true as explained earlier. Raising a rational number less than 1 to the power of 3 will not result in a value greater than the original number.
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Community Answer
A rational number, p < 1, then,a)p3> 1b)p3< 0c)p3< pd)p3&g...
The correct answer is option C
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A rational number, p < 1, then,a)p3> 1b)p3< 0c)p3< pd)p3> pCorrect answer is option 'C'. Can you explain this answer?
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