# If A ⊂ B, then A ∩ B = A ∪ B.

We are given that two sets  A and B

We have to prove show that

Suppose , x belongs to [tex}A\cap B[/tex]

Then ,

Then,

If,

Then,

If Then, it is not necessary that x belongs to  A .

If x belongs to A then

If x does not belongs to A then

But, if x belongs to A then x is also belongs to B because  A is a subset  of B.

Then,

Answer: You can illustrate this with a Venn diagram

## Related Questions

The seventh grade math classes are going on a field trip. the field trip will cost \$7 per student. write an expression to find the cost of the field trip for s students. what is the total cost if 26 students go on the trip?

7s is the expression to find the cost of the field trip for s students and 182 is the total cost if 26 students go on the trip

What is Expression?

An expression is combination of variables, numbers and operators.

Given,

The seventh grade math classes are going on a field trip.

the field trip will cost \$7 per student.

Given s is number of students.

7s is the expression to find the cost of the field trip for s students.

When number of students are twenty six 26, i.e s=26

Total cost=7×26

seven times of twenty six

182

Hence 7s is the expression to find the cost of the field trip for s students and 182 is the total cost if 26 students go on the trip

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Cost = 7s; where s is the number of students who paid.

Plugging in 26:

cost = 7 * 26
cost = 182

Hope this helps!

Describe a way that someone could estimate the length of a book

→The best estimation of a book will be in terms of CM(Centimeter) or Feet.

→We Should use "Centimeter Scale or Measuring tape" for this purpose.

→Otherwise, take a thread ,Put one end of thread on one end of book, that is along the longer side, and keep elongating the thread until you reach the other end.Now, with the help of Different kind of Measuring tape,you can find the length of that thread Accurately.And that will be the length of the book.

Somebody can estimate the length of a book by using a ruler and rounding it to the nearest whole number.

How do you divide 117 into 2.25

9 x 13 = 117

------------------

2.25 x 4 = 9

-------------------

Therefore:

2.25 x 4 x 13 =117

2.25 x 52 = 117

---------------------

Therefore:

117/(2.25) = 52

Therefore:

(2.25)/117 = 1/52
Um...you could use long division. if u wanted the answer, then it is 52.
HOPE I HELPED!!!

The average life a manufacturer's blender is 5 years, with a standard deviation of 1 year. Assuming that the lives of these blenders follow approximately a normal distribution, find the probability that the mean life a random sample of 25 such blenders falls between 4.6 and 5.1 years.

The probability that the mean life a random sample of 25 such blenders falls between 4.6 and 5.1 years is 0.6687.

Step-by-step explanation:

We have given :

The average life a manufacturer's blender is 5 years i.e.

The standard deviation is

Number of sample n=25.

To find : The probability that the mean life falls between 4.6 and 5.1 years ?

Solution :

Using z-score formula,

The probability that the mean life falls between 4.6 and 5.1 years is given by,

Using z-table,

Therefore, the probability that the mean life a random sample of 25 such blenders falls between 4.6 and 5.1 years is 0.6687.