Mathematics, 11.08.2021 23:30 anglebaby559p0nxvi

Set A and the universal set U are defined as follows. U={1,2,3,4,5,6)
A= {2,4,6}
Find the following sets.
Write your answer in roster form or as Ø.

Set A and the universal set U are defined as follows.

U={1,2,3,4,5,6)
A= {2,4,6}
Find the followi

Answers: 2

Show answers

Answers

Answer from: ahmetagayew2004

Part (a)

This is the empty set

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

Explanation:

It doesn't matter what set A is composed of. Intersecting any set with the empty set Ø will always result in the empty set.

This is because we're asking the question: "What does some set A and the empty set have in common?". The answer of course being "nothing" because there's nothing in Ø. Not even the value zero is in this set.

We can write Ø as { } which is a set of curly braces with nothing inside it.

=========================================================

Part (b)

{1,2,3,4,5,6}

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

Explanation:

When you union the universal set with any other set, you'll get the universal set.

The rule is $A \cup B = B$ where I've made B the universal set to avoid confusion of the letter U and the union symbol $\cup$ which looks nearly identical.

Why does this rule work? Well if an item is in set $\overline{A}$ , then it's automatically in set U (everything is in set U; it's the universe). So we're not adding anything to the universe when applying a union involving this largest set.

It's like saying

A = set of stuff inside a persons house $\overline{A}$ = set of stuff outside a persons house (ie stuff that is not in set A)U = set of every item

we can see that $\overline{A} \cup U$ will basically form the set of every item, aka the universal set.

Answer from: Quest

did you get the answer yet?

step-by-step explanation:

Answer from: Quest

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

$ab^2+ac^2=bc^2$

$ab^2+ac^2=x^2$ )

triangle abd and cba are similar,

$\frac{ab}{bc}=\frac{bd}{ab}$

$ab^2=bc\cdot bd$

$25=bc\cdot bd$ (2)

triangle cad and cba are similar,

$\frac{ac}{bc}=\frac{cd}{ac}$

$ac^2=bc\cdot dc$

$7\times 7=bc\cdot dc$

$49=bc\cdot dc$ )

using (1), (2) and (3), we get

$25+49=x^2$

$74=x^2$

hence proved.

therefore option 2 is correct.

Another question on Mathematics

Mathematics, 20.06.2019 18:04

3(10x-y)-5(x-y^2) need this solved asap

Answers: 2

Answer

Mathematics, 21.06.2019 18:30

Factor k2 - 17k + 16. a.(k - 2)(k - 8) b.(k - 1)(k + 16) c.(k - 1)(k - 16)

Answers: 1

Answer

Mathematics, 21.06.2019 20:30

Clarence wants to buy a new car. he finds an ad for a car that costs 27,200 dollars. suppose his local sales tax is 7%. -how much would he have to pay? -what is the cost of the car including tax? -if clarence has 29,864 saved, can he pay cash to buy the car?

Answers: 1

Answer

Mathematics, 21.06.2019 21:30

What is r i 4.5+10r=-6.5 with work pls

Answers: 1

Answer

You know the right answer?

Set A and the universal set U are defined as follows. U={1,2,3,4,5,6)
A= {2,4,6}
Find t...

Questions