How do you solve the inequality #-2/3 d - 2 < 1/3 d + 8# ?

2 Answers
Apr 8, 2018

Answer:

#d> -10#

Explanation:

#"collect terms in d on one side and numeric values on the"#
#"other side of the inequality"#

#"add "2/3d" to both sides"#

#cancel(-2/3d)cancel(+2/3d)-2<1/3d+2/3d+8#

#rArr-2< d+8#

#"subtract 8 from both sides"#

#-2-8< dcancel(+8)cancel(-8)#

#rArr-10< d" or "d> -10#

Apr 8, 2018

Answer:

#-10#<#d#

Explanation:

Multiply everything by 3

#-2d-6#<#d+24#

Add 2d to both sides

#-6#<#3d+24#

Subtract 24 from both sides

-30#<#3#d#

Divide both sides by 3

#-10#<#d#