SOLUTION: /2x-1/ greater than or equal to 0

Question 96935: /2x-1/ greater than or equal to 0
Found 2 solutions by evhil_mahabahkah, robertb:
Answer by evhil_mahabahkah(3) (Show Source): You can put this solution on YOUR website!
Since we are dealing with absolute value, equate 0 with +|2x-1| and -|2x-1|:
|2x-1| ≥ 0
2x-1 ≥ 0
2x ≥ 1
x ≥ �
~and~
-|2x-1| ≥ 0
-2x+1 ≥ 0
-2x ≥ -1
x ≤ � (change of inequality symbol since you divided the terms with -1)

therefore, � ≤ x ≥ � , meaning, x ≠ � (any real number not equal to �)

Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
By definition any absolute-value is non-negative, and thus there is no need for solving here: any real value of x is a solution of the inequality.
RELATED QUESTIONS
Solve : 1/|2x-1| greater than or equal to... (answered by greenestamps,TeachMath)
8-|2x-1| Greater than or equal to > 6... (answered by edjones)
-7/2x is equal to or greater than... (answered by nyc_function)
How do I solve -3 greater than or equal to 2X+1 greater than or equal to... (answered by checkley77)
Can I please have help with this, thank you! Graph the following systems of... (answered by Alan3354,ikleyn)
Please solve the equation: (x is less than or equal to 2pi and greater than or equal to... (answered by lwsshak3)
Solve: cosx=sinx, 0 greater than or equal to x greater than or equal to... (answered by ewatrrr)
What is: 2x-3/5+1 (Greater than or equal to... (answered by rfer)
Graph the system of inequalities. x+2y is less than or equal to 6 2x+y is less thab or... (answered by solver91311)