State whether the following statements are true or false?

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True

False

answer is B.

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Detailed Solution

The given statement is false.
Concept- In order to answer this question, we would need to find the ratio of both equation sides and convert it to a fraction. The fraction would then be converted to its most basic form, and their equality would be determined by comparison.
Given are two real number ratios. We must determine whether the ratio presented is equal or not.

In order to answer this query, we must first resolve the left-side ratio before moving on to resolve the right-side ratio. Then we determine whether or not both are equal.
If we look at the left-side ratio, it is

, or

.
21 cannot be correctly divided by 6 because it is not a multiple of 6.
The provided fraction would therefore not decrease any more.
The ratio is

when we look at the right-hand side of the given statement.
The result of converting

into a fraction is

.
By dividing the numerator and denominator by 5, we obtain the value

can no longer be decreased further.
When we combine the two derived fractions, the left-hand side fraction becomes

and the right-hand side fraction becomes

.
We can see that the fractions that were obtained are not equal.
So, we came to the conclusion that

is false.
Hence, the given statement is false.

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