SOLUTION: Solve the inequality |x

SOLUTION: Solve the inequality |x - 1/2| > or = 2/3.

Question 39207: Solve the inequality |x - 1/2| > or = 2/3.
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
means we have 2 possibilities since the |.| part is like a V-shape, ie 2 straight lines. Mathematically we have to solve:

and

First:

and now:

So, the value of x needs to be "less than or equal to" (-1/6) OR "greater than or equal to" (7/6)

Graphically, we can show this as , where i have plotted both and . Where they cross each other are the 2 answers i calculated

jon.

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