How do you solve #-\frac { 1} { 4} + w < \frac { 3} { 5}#?

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Answer 1 · 2017-03-04T04:38:47

move the #-1/4# to the other side of the inequality to isolate and solve for w. then find a common denominator to combine the two fractions or terms.

# -1/4 + 1/4 + w < 3/5 + 1/4 #

#-1/4 + 1/4 = 0# This is the additive inverse. so

# w < 3/5 + 1/4 # Now use 20 as the common denominator

# w < 3/5 xx 4/4 + 1/4 xx 5/5# This gives

# w < 12/20 + 5/20 # The fractions can be added now.

# w < 17/20 # There are no common factor so the answer is

w < 17/20