Question

Use the number line to express the following:

The set of all numbers greater than 2.

Answer 1

@AZ

Answer 2

so greater than

is that going to be a shaded circle or an empty one?

Answer 3

and when it goes to infinity, it has to be an empty circle

Answer 4

Submit your answer by dragging the movable blue points on the number line. For an interval that extends to +∞ or −∞ move the blue points to the right or left end of the number line (shown as a dashed line). You can select whether each endpoint of your chosen interval is open or closed by sliding the respective orange switches up or down. Note that the blue line segment above the number line indicates the interval you have chosen and whether the endpoints are open or closed.

Answer 5

See now there's some instructions!

Answer 6

so when I say shaded, what I mean is that the endpoint is CLOSED
when I say empty, that means the endpoint is OPEN

Answer 7

yep

Answer 8

so where are you going to place your points?

where do the two ends go

Answer 9

it says set of all numbers so I don't know where to put the first point

Answer 10

basically we're saying

x is greater than 2

x > 2

Answer 11

Set of all numbers means x can be any number that is greater than 2

Does that make sense?

Answer 12

yep

Answer 13

so where would you place the two points?

one of them has to be infinity because x can be 2342352346226 and that's greater than 2

where would the other point be at?

Answer 14

the other point is at 2?

Answer 15

obviously! Good job!

Answer 16

now remember what we said earlier and even in your last question?

If we have < or >
then it has to be an OPEN or UNSHADED or EMPTY circle

if it's ≤ or ≥
then it has to be a CLOSED or SHADED circle

you got that?

Answer 17

so the point at 2, is it open or closed?

Answer 18

point 2 is closed?

Answer 19

if it's infinity it can be 1?

Answer 20

is the symbol ≥ or >

will it be open or closed?

Answer 21

for infinity, it has to be OPEN because infinity isn't exactly a number
it's just saying that the number can go on and on

Answer 22

is point 2 closed?

Answer 23

no... read what I said

is the symbol ≥ or >

remember we have
x > 2

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ
now remember what we said earlier and even in your last question?

If we have < or >
then it has to be an OPEN or UNSHADED or EMPTY circle

if it's ≤ or ≥
then it has to be a CLOSED or SHADED circle

you got that?
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 24

point 2 is an empty circle

Answer 25

i said is point 2 closed if an empty circle is closed then I got it correct??!!

Answer 26

(I'm only using the words open and closed because that's what it said in your instruction)

Answer 27

an empty circle is open

Answer 28

so both of our circles have to be empty/open or basically not shaded