SOLUTION: Use interval notation to express the solution set of the inequality. |2x &#8722; 3| < 1

Algebra ->  Finance -> SOLUTION: Use interval notation to express the solution set of the inequality. |2x &#8722; 3| < 1      Log On


   

Question 1128677: Use interval notation to express the solution set of the inequality.
|2x − 3| < 1
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

abs%282x+-+3%29+%3C+1
recall that is same as
sqrt%28%282x+-3%29%5E2%29+%3C+1

solutions:
2x+-3+%3C+1
2x+%3C+1%2B3
2x+%3C+4
x+%3C+2
or
-%282x+-3%29+%3C+1
-2x+%2B3+%3C+1
-1%2B3+%3C+2x+
2%3C+2x+
x%3E1
=>
1%3Cx%3C2
interval notation: (1,2)