3 years ago

Prove: For all sets AB,and CIA-B) U (A n B) = A

Mathematics

1 answer:

joja [24]3 years ago

8 0

Answer:

Step-by-step explanation:

(A-B)U (A∩B) [ We know that difference of A and B is A∩B')

A∩B')U(A∩B)

A∩(B'UB) (Using Distributive law)

A∩(U) [ Union of a set and its complement is always a universal set]

A Hence proved

You might be interested in

Type in the correct number for the reduced form of the fraction 25/100, then click the Check Answer button.

Leni [432]

The correct answer would be 1/4th

3 0

3 years ago

2root 3 x 3 root 8 fully simplified

LuckyWell [14K]

Answer:

$12\sqrt{6}$

Step-by-step explanation:

<h3>Given expression</h3>

$2 \sqrt{3} *3\sqrt{8}$

<h3>Simplify the expression in steps as below</h3>

$2 \sqrt{3} *3\sqrt{8} =$
$2 \sqrt{3} *3\sqrt{2^2*2} =$
$2 \sqrt{3} *3*2\sqrt{2} =$
$2*6* \sqrt{3} *\sqrt{2} =$
$12* \sqrt{3*2} =$
$12\sqrt{6}$

Used properties in solution process:

$\sqrt{a^2} =a$
$\sqrt{a}\sqrt{b} =\sqrt{ab}$

8 0

2 years ago

$83.5743 rounded to the nearest cent is

Tresset [83]

83.57 i believe because you would round the 43 down so it would stay the same

4 0

3 years ago

Read 2 more answers

A plane is flying at an altitude of 17,000 feet. The angle of depression from the plane to the airport is 21 degrees. What is th

lesantik [10]

Answer:

tan 21 = 17 000 / d

d = 17000/ tan21 = 44286.5 ft

5 0

3 years ago

If $4200 is invested into a savings account for which interest is compounded semiannually, and if the $4200 turns into $4900 in

serg [7]

x = interest rate

solve for x

4900 = 4200(1+x/2)^8

x = 0.0389 = 3.89%

6 0

3 years ago

Read 2 more answers