SOLUTION: 4x+3/5 in absolute value symbols is less than or equal to 3?

Algebra ->  Absolute-value -> SOLUTION: 4x+3/5 in absolute value symbols is less than or equal to 3?      Log On


   



Question 339987: 4x+3/5 in absolute value symbols is less than or equal to 3?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
abs%284x+%2B+3%2F5%29+%3C=+3
abs%284x%29+%2B+abs%283%2F5%29+%3C=+3
Since abs%283%2F5%29+=+3%2F5
abs%284x%29+%3C=+3+-+3%2F5
abs%284x%29+%3C=+12%2F5
From this I can see that if x+%3C=+3%2F5
or x+%3E=+-3%2F5, the inequality is true
-3%2F5+%3C=+x+%3C=+3%2F5 answer