How do you solve #- 8w+7>5#?

1 Answer
Alan P.
Jun 28, 2015

#w<1/4#

Explanation:

Given #-8w+7>5#

Method 1
Subtract 5 from both sides
#color(white)("XXXX")##-8w+2 > 0#
Add #(-8w)# to both sides
#color(white)("XXXX")##2>8w#
Divide both sides by 8
#color(white)("XXXX")##1/4>w#
If you like to see your variables on the left you can invert this as
#color(white)("XXXX")##w<1/4#

Method 2
Subtract 7 from both sides
#color(white)("XXXX")##-8w > -2#
Divide by #(-8)# but remember multiplication or division by a negative inverts the orientation of an inequality.
#color(white)("XXXX")##w<1/4#

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