How do you solve and write the following in interval notation: y is at least 5?

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Answer 1 · 2016-06-30T16:53:49

Range: #[5, oo)#

FYI (general knowledge)

We are talking about the y-values, so we are dealing with the range.

Remember:

#[ or ]#(brackets) - include all numbers including the one inside the bracket(s)

#( or )#(parentheses) - include all numbers but the one noted inside the parentheses

For example:

#[ x , y)#

Here, the variable #x# is included as a solution, but the variable #y# is not.

FOR YOUR QUESTION

So for all #y# values at least #5#:

Use a bracket since it is at least:

#[5#

and since it is not specified that there is a limit number, we finish with infinity:

#[5,oo)#

Note that whenever #oo# is used in interval notation, it must be parentheses that close up the notation.