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

1 Answer
Mar 4, 2017

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.

Explanation:

-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