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Can someone walk me through the steps not just the answer to it. I need inequality that describes the graph I know the answer but need steps????

Can someone walk me through the steps not just the answer to it. I need inequality-example-1
User Goseta
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1 Answer

24 votes
24 votes

The image basically means ALL numbers greater than -10.

detailed explanation of everything:

When looking at number lines like these: you should pay attention to 2 things.

1. which way the arrow is pointing

2. whether the circle on the point (in this case, -10) is open or not.

1. which way the arrow is pointing

it can be right or left. in this case, it is pointing to the right. you can tell because the part on the right is shaded/bolded with an arrow.

what does it mean?

lets look at the one shown. the given point is -10. the arrow is pointing right. this means the graph wants numbers that are above -10. but another question remains-- is the -10 included? to know if it is included, look at 2.

2. whether the circle on the point (in this case, -10) is open or not.

how do you know if it is open or not?

to tell if a point is open, you need to check if the point is colored or not. look at the image attached (i made it! :D ) to know which one is which. in this question, it is an open circle (not colored).

what does it mean?

a closed circle means including the number (the one the point is at) and an open circle does not include the number. in answers the question in 1. (is the -10 included?). in this question, it shows an open circle, so it does not include the -10.

therefore, the number line shows numbers that are greater than -10.

important: numbers greater than -10, not greater and equal to (-10 doesnt count !!! )

quick explanation (or summary if u read above):

because the arrow is pointing to the right and the circle is open, we know that the number line means all numbers greater than -10

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done !! this took me a lot of time so i hope it helps ^_^ have a great day you are appreciated, stay strong we love you.

-- bella-chan ~~

Can someone walk me through the steps not just the answer to it. I need inequality-example-1
User Fjut
by
3.1k points