A company is making an action figure that must be at least 19.21 centimeters tall and at most 31.23 centimeters tall. How do you write a compound inequality that describes how tall the action figure can be and put the answer in set builder notation?

Question

1374 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-09-17T21:27:02

#H= {x : 19.21 <= x <=31.23, x in RR}#

or

#H= {x | 19.21 <= x <=31.23, x in RR}#

The figure can have a length anywhere from #19.21 and 31.23#cm.

These are the upper and lower limits:

#19.21 <= x <=31.23#

Set builder notation states that this condition must apply to all the possible values of #x# which has to be a real number.

#H= {x:19.21 <= x <=31.23, x in RR}#