Question

@micahm
write the interval as an innequality. Then graph the solutions.
[-4,8]

Answer 1

@just_one_last_goodbye

Answer 2

you know the difference, and if not I will tell you it.
\({\color{black}{ {[a,b]} }}\) is an interval notation for "from a to b", and both a and b are included.
\({\color{black}{ {(a,b)} }}\) is an interval notation "from a to b" as well, but, both a and b are NOT included.

If I said:
\({\color{black}{ {[a,b)} }}\), then it is from a to b, including a and not including b.
\({\color{black}{ {(a,b]} }}\), then it is from a to b, not including a and including b.

Basic premise:
\({\color{black}{ {[} }}\) and \({\color{black}{ {]} }}\) include the number,
\({\color{black}{ {(} }}\) and \({\color{black}{ {)} }}\) don't include the number.

Answer 3

I dont know it.

Answer 4

so read what I say, and while I you do this, I will out up some examples that can be helpful

Answer 5

okay so -4 and 8 will both be used in the equation because [a,b] was the given information?

Answer 6

Look at my first (big) post explaining the interval notations and based on this go through my examples:

If my solution was:
\({\color{black}{ {4\ge x\ge5} }}\)
then the interval notation is, \({\color{black}{ {[4,5]} }}\)

If my solution was:
\({\color{black}{ {3>x>6} }}\)
then the interval notation is, \({\color{black}{ {(3,6)} }}\)

If my solution was:
\({\color{black}{ {0>x\ge10} }}\)
then the interval notation is, \({\color{black}{ {(0,10]} }}\)

If my solution was:
\({\color{black}{ {7\ge x>11} }}\)
then the interval notation is, \({\color{black}{ {[7,11)} }}\)

Answer 7

when you are done going through thell me if they make sense

Answer 8

and, I don't have any clue about the given information, since you haven't posted any formation for me to see.

Answer 9

OHHH okay so my answer would be:
\[-4\ge x \ge 8\]

Answer 10

yes.

Answer 11

good job:

\({\color{black}{ {[-4,8]} }}\) interval, \({\color{black}{ {\Longrightarrow} }}\) \({\color{black}{ {-4\ge x \ge 8} }}\) inequility.

Answer 12

it should be:
\({\color{black}{ {-4\le x \le 8} }}\)

Answer 13

my error, must admit

Answer 14

because x is greater than 4,
and less than 8,

Answer 15

and NOT
less than 4 and greater than 8