# SOLUTION: Solve |3x-7|>=2

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 Question 21357: Solve |3x-7|>=2Answer by venugopalramana(3286)   (Show Source): You can put this solution on YOUR website!|3X-7|>=2 CASE 1... 3X-7=POSITIVE...THEN |3X-7|=3X-7..HENCE 3X-7>=2 3X>=7+2=9 X>=9/3=3 SO X>=3 CASE 2...3X-7=NEGATIVE..THEN..|3X-7|=-(3X-7)=-3X+7...HENCE -3X+7>=2...... -3X>=2-7=-5 X<=-5/-3=5/3...(NOTE THAT INEQUALITY REVERSES IF WE DIVIDE OR MULTIPLY WITH NEGATIVE NUMBER..FOR EX...5>3...BUT.....-5<-3....) SO X<=5/3...HENCE THE TOTAL SOLUTION SET IS X>=3 AND X<=5/3