# How do you solve and write the following in interval notation: #-4x-3<21#?

##### 1 Answer

May 27, 2018

#### Explanation:

#"isolate "-4x" by adding 3 to both sides"#

#-4x<24#

#"divide both sides by "-4#

#color(blue)"reversing the sign as a consequence"#

#x> -6" is the solution"#

#x in(-6,oo)larrcolor(blue)"in interval notation"#

#"the curved bracket indicates that x cannot equal the"#

#"values shown in the bracket but can equal all values"#

#"between them"#