Question 21357: Solve |3x-7|>=2
Answer 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
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