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2 years ago

The U in the upper right corner stands for the

Mathematics

2 answers:

Vitek1552 [10]2 years ago

8 0

The U in the upper right corner stands for the universal set.
As universal set defined the set containing all objects or elements and of which all other sets are subsets. So, the answer is B.

ANTONII [103]2 years ago

3 0

Answer:

Universal set

Step-by-step explanation:

We need to find U in the upper right corner stands for what

Option 1 : bigger set

We cannot say this a bigger set without comparing it with another sets and since it is also containing another sets So, it is not said to be a bigger set.

Option 1 is wrong .

Option 2 : Universal Set

Definition of Universal Set : The set which contains all elements or all objects and of which all other sets are subsets.

Since we can see that SET M and SET N are contained in SET U

Thus U is a universal set.

Option 2 is correct .

Option 3: infinite set

we can see in the figure that it is finite set .

So, it is not infinite set.

Option 3 is wrong .

Option 4: complement

it is not a complement set (refer given figure )

Option 4 is wrong .

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ANSWER

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QUESTION 1

The first sentence is $(5^{\frac{1}{5}})^5=25^x$ .

Recall that;

$(a^m)^n=a^{mn}$

We simplify the left hand side by applying this property to get;

$5^{\frac{1}{5}\times 5}=25^x$ .

$\Rightarrow 5^{1}=25^x$ .

We now rewrite the right hand side too in an index form to obtain;

$\Rightarrow 5^{1}=5^{2x}$

We now equate the exponents to get;

$\Rightarrow 1=2x$ .

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$\Rightarrow x=\frac{1}{2}$ .

QUESTION 2

The second sentence is $(8^{\frac{1}{3}})^2=4^x$

We simplify the left hand side first to get;

$(2^{3\times \frac{1}{3}})^2=4^x$

$2^2=4^x$

We now rewrite the left hand side too in index form to obtain;

$2^2=2^{2x}$

We equate the exponents to get;

$2=2x$

This implies that;

$1=x$

$x=1$

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