Hey everyone, Today we're gonna be
representing inequalities on a number
line. Things that you should know. A
filled in circle means that the number
is included which means we want this
number. We use a filled in circle when we
have less than or equal to, and greater
than or equal to, symbols. An empty circle
means that the number is not included. We
don't want to use that number. And this
is used with the less than and greater
than symbols.
Unlike equations that only have one
solution, inequalities could have many
different solutions. So they want us to
graph H is greater than 3. H is bigger
than 3, so the arrow points to all the
numbers larger, so we have this direction
here. H cannot be 3 because the equal
sign is not here. And we're gonna use the
open circle because we do not want to
include 3. We can have everything that is
larger than 3 but not 3. Next we have H
is less than 2 H is less than 2, so the
arrow is going to point down from all
the numbers that are smaller than 2. H is
not 2 because again there is no equal
sign. So we're gonna have an open circle
because we do not want to include 2.
Graph H is less than or equal to 5. So H
can be less than or equal to 5. We're
gonna do all the numbers that are less
than 5 and this time 5 works. We do want
to include 5 so this time we have a
shaded circle.
Graph H is greater than or equal to
negative two. So H is going to be bigger
than negative two, so all the numbers
larger. Negative two also works, we want
to include it so we're going to shade in
the circle. You guys have two IXLs
to do. Have a great day.
