How do you solve and write the following in interval notation: #| x – 3 | < 9#?
1 Answer
Jan 21, 2018
Explanation:
#"inequalities of the type "|x| < a#
#"always have solutions of the form "#
#-a < x < a#
#rArr-9 < x-3 <9#
#"add 3 to each of the three intervals"#
#-9color(red)(+3) < xcancel(-3)cancel(color(red)(+3))<9color(red)(+3)#
#rArr-6 < x < 12" is the solution"#
#rArr(-6,12)larrcolor(blue)"in interval notation"#
