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Dahasolnce [82]
3 years ago
11

Please helppp

Mathematics
2 answers:
elena-14-01-66 [18.8K]3 years ago
6 0

Answer:

6

Step-by-step explanation:

Gre4nikov [31]3 years ago
4 0

Answer:

6

Step-by-step explanation:

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. For each of these intervals, list all its elements or explain why it is empty. a) [a, a] b) [a, a) c) (a, a] d) (a, a) e) (a,
Eva8 [605]

Answer:

Elements are of the form

 (i) [a,a]=\{[x,y] : a\leq x\leq a, a\leq y\leq a; a\in \mathbb R\}

(ii) [a,b)=\{[x,y) :a\leq x

(iii)(a,a]=\{(x,y] :a

(iv)(a,a)=\{(x,y): a

(v) (a,b) where a>b=\{(x,y) : a>x>b,a>y>b;a>b,a,b \in \mathbb R\}

(vi) [a,b] where a>b=\{[x,y] : a\geq x\geq b,a\geq y\geq b;a>b,a,b \in \mathbb R\}

Step-by-step explanation:

Given intervals are,

(i) [a,a] (ii) [a,a) (iii) (a,a] (iv) (a,a) (v) (a,b) where a>b (vi)  [a,b] where a>b.

To show all its elements,

(i) [a,a]

Imply the set including aa from left as well as right side.

Its elements are of the form.

\{[a,a] : a\in \mathbb R\}=\{[0,0],[1, 1],[-1,-1],[2,2],[-2,-2],[3,3],[-3,-3],........\}

Since there is a singleton element a of real numbers, this set is empty.

Because there is no increment so if a\in \mathbb R then the set  [a,a] represents singleton sets, and singleton sets are empty so is [a,a].

(ii) [a,a)

This means given interval containing a by left and exclude a by right.

Its elements are of the form.

[ 1, 1),[-1,-1),[2,2),[-2,-2),[3,3),[-3,-3),........

Since there is a singleton element a of real numbers withis the set, this set is empty.

Because there is no increment so if a\in \mathbb R then the set  [a,a) represents singleton sets, and singleton sets are empty so is [a.a).

(iii) (a,a]

It means the interval not taking a by left and include a by right.

Its elements are of the form.

( 1, 1],(-1,-1],(2,2],(-2,-2],(3,3],(-3,-3],........

Since there is a singleton element a of real numbers, this set is empty.

Because there is no increment so if a\in \mathbb R then the set  (a,a] represents singleton sets, and singleton sets are empty so is (a,a].

(iv) (a,a)

Means given set excluding a by left as well as right.

Since there is a singleton element a of real numbers, this set is empty.

Its elements are of the form.

( 1, 1),(-1,-1],(2,2],(-2,-2],(3,3],(-3,-3],........

Because there is no increment so if a\in \mathbb R then the set  (a,a) represents singleton sets, and singleton sets are empty, so is (a,a).

(v) (a,b) where a>b.

Which indicate the interval containing a, b such that increment of x is always greater than increment of y which not take x and y by any side of the interval.

That is the graph is bounded by value of a and it contains elements like it we fixed a=5 then,

(a,b)=\{(5,0),(5,1),(5,2).....\} e.t.c

So this set is connected and we know singletons are connected in \mathbb R. Hence given set is empty.

(vi) [a,b] where a\leq b.

Which indicate the interval containing a, b such that increment of x is always greater than increment of y which include both x and y.

That is the graph is bounded by value of a and it contains elements like it we fixed a=5 then,

[a,b]=\{[5,0],[5,1],[5,2].....\} e.t.c

So this set is connected and we know singletons are connected in \mathbb R. Hence given set is empty.

8 0
3 years ago
Which statements about the graph of the function f(x) = -2- 4x + 2 are true? Select three options
soldi70 [24.7K]

Answer:Its B,C, and E man

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Tung rotates a square around its horizontal axis of symmetry to make a solid figure. What is the shape of the vertical cross sec
Iteru [2.4K]

The shape of the vertical cross section of the solid figure is Circle , Option A is the right answer.

What is a Circle ?

A circle is a round figure with all the points lying in the same plane .

It is given that

Tung rotates a square around its horizontal axis of symmetry to make a solid figure.

the shape of the vertical cross section of the solid figure will be a circle that can be seen in the image attached

The rotation image is also attached and the horizontal axis is taken as straight to show the formation of a circle.

Therefore Option A is the right answer.

To know more about Circle

brainly.com/question/11833983

#SPJ1

4 0
1 year ago
Event the die comes up at most 2
hjlf
X. 1. 2. 3. 4. 5. 6 are all the possible events when rolling a die. If it is a fair die then the probability of rolling any number is 1/6. So the probability of rolling at most a two is p(1)+ p(2)= 2/6 or 1/3
4 0
3 years ago
Liz had attended class everyday since she started school as a kindergartner. she said she had been in school for about 1,000 day
Sidana [21]
It would stay at 1,000
say if the number was 1,057
then the number would round up to 1,060
same as if the number was 1,053
the number would round down to 1,050
since the number ends in 0 there is no rounding to do
4 0
2 years ago
Read 2 more answers
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