How do you solve #7w - 39< - 4( 3- 4w )#?

1 Answer
Jim G.
Nov 2, 2017

#w> -3#

Explanation:

#"distribute the bracket on the right side of the inequation"#

#7w-39< -12+16w#

#"collect terms in w on one side and numeric values"#
#"on the other side"#

#"subtract "7w" from both sides"#

#cancel(7w)cancel(-7w)-39< -12+16w-7w#

#rArr-39< -12+9w#

#"add "12" to both sides"#

#-39+12< cancel(-12)cancel(+12)+9w#

#rArr-27< 9w#

#"divide both sides by "9#

#(-27)/9<(cancel(9) w)/cancel(9)#

#rArr-3< w" or "w> -3#

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