Which of these inequalities are equivalent to r > -11? Check all that apply.
2 answers:
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Answer:
Option | and Option || is True
Step-by-step explanation:
Given:
If the square root of is an integer greater than 1,
Lets p = 2, 3, 4, 5, 6, 7..........
Solution:
Now we check all option for
Option |.
has an odd number of positive factors.
Let
The positive factor of
Number of factor is 3
Let
The positive factor of
Number of factor is 3
So, has an odd number of positive factors.
Therefore, 1st option is true.
Option ||.
can be expressed as the product of an even number of positive prime factors
Let
The positive factor of
Let
The positive factor of
So, it is expressed as the product of an even number of positive prime factors,
Therefore, 2nd option is true.
Option |||.
p has an even number of positive factors
Let
Positive factor of
Number of factor is 2.
Let
Positive factor of
Number of factor is 3 that is odd
So, p has also odd number of positive factor.
Therefore, it is false.
Therefore, Option | and Option || is True.
Option ||| is false.