How do you solve and write the following in interval notation: #4 <= x <10#?

1 Answer
May 24, 2017

Answer:

interval notation: #[4, 10)#

Explanation:

Given: #4 <= x < 10#

When you solve an equation, you find the input (usually #x#) values. You were already given the #x# values, so there is no solving involved.

In interval notation a bracket is used when you have #<=#. It infers that the value is included.

In interval notation a parenthesis is used when you have #< " or " >#. It infers that the value is not included.

#4 <= x < 10# in interval notation is #[4, 10)#

If you were asked to sketch the result or solution. You would draw a line from #4# to #10#. You would have a bracket or closed hole at #4# and a parenthesis or open hole at #10#:

enter image source here