Question

question

Answer 1

\(\large \color{black}{\begin{align}& \normalsize \text{Let U be the set of all triangles in a plane.}\hspace{.33em}\\~\\
& \normalsize \text{If A is the set of all triangles with at}\hspace{.33em}\\~\\
& \normalsize \text{least one angle different from 60°, what is A′?}\hspace{.33em}\\~\\
\end{align}}\)

Answer 2

A' is the set of all triangles with all angles 60°.

Answer 3

how

Answer 4

A is the set of all triangles with at least one different angle from 60°.

Answer 5

So that means that A' is the set of all equilateral triangles.

Answer 6

lol u wrote the same thing

Answer 7

http://www.meritnation.com/ask-answer/question/let-u-be-the-set-of-all-triangles-in-a-plane-if-a-is-the/sets/2453760

Answer 8

i neeed A compliment

Answer 9

\(\Huge A'\)

Answer 10

Jesus. I just typed everything out and it removed it.

Answer 11

OK, so \(A'\) *is* the set of equilateral triangles.

Answer 12

type it on notepad first then copy

Answer 13

Or you could use a better site such as www.peeranswer.com

Answer 14

\(A \cup A' = T\) where \(T\) is the set of all triangles.

Thus, \(A'\) is the set of all triangles that do not satisfy the criterion for \(A\) (that at least one angle should be different from 60). The only way to violate that? Have none of them different from 60, which pretty much means that all of them are 60.

Answer 15

no i have faith in OP.com

Answer 16

Read that as "I have faith in OP's mom"

Answer 17

OP.com??????

Answer 18

OPenstudy.com

Answer 19

ohhhhh :O

Answer 20

lol

Answer 21

negation of "at least one" is "none"

so the negation of "at least one angle different from 60" is "none of the angles different from 60", which is same as "all angles are 60"

Answer 22

hmm this is confujing

Answer 23

Fill in the blanks to make each of the following a true statement :
(i) A ∪ A′ = . . . (ii) φ′ ∩ A = . . .
(iii) A ∩ A′ = . . . (iv) U′ ∩ A = . . .

Answer 24

whats the negation of below statement :

at least of the gifts is a car

Answer 25

car is not in the gifts

Answer 26

right, another
whats the negation of below statement :

at least of the gifts is not a car

Answer 27

Their might be car as gift more than once.

Answer 28

try again

Answer 29

at least of the gifts is a car

Answer 30

```
at least of the gifts is not a car
```

means, there exist one or more gifts that are not cars

Answer 31

whats the negation of that ?

Answer 32

this_>? at least of the gifts is a car

Answer 33

nope

Answer 34

negation of "at least one" is "none"

Answer 35

i mean negation of which sentence

Answer 36

```
at least of the gifts is not a car
```

negation of above statement would be :
```
none of the gifts is not a car
```

Answer 37

that means, there are no gifts that are not cars,
which is same as saying that all the gifts are cats

Answer 38

ok i see my english is poor

Answer 39

it has nothing to do with english, it is logic, you just need to see it once

Answer 40

oh, hmm ok

i have one morre question

Fill in the blanks to make each of the following a true statement :
(i) A ∪ A′ = . . . (ii) φ′ ∩ A = . . .
(iii) A ∩ A′ = . . . (iv) U′ ∩ A = . . .

Answer 41

\(A'\) is everything that is not \(A\)
therefore, combining\(A\) with \(A'\) gives you everything :
\[A\cup A' = U\]

Answer 42

may be lets work this with venn diagrams

Answer 43

Yes, that looks good. can you show me A and A' in above venn diagram