SOLUTION: [-4x-5]> -3 (The brackets are what i used for the absolute value bars, and the sign is actually greater than or equal to...i just didnt have a way of typing it in the equation

Algebra ->  Absolute-value -> SOLUTION: [-4x-5]> -3 (The brackets are what i used for the absolute value bars, and the sign is actually greater than or equal to...i just didnt have a way of typing it in the equation      Log On


   



Question 342972: [-4x-5]> -3

(The brackets are what i used for the absolute value bars, and the sign is actually greater than or equal to...i just didnt have a way of typing it in the equation) thanks for your help!

Found 2 solutions by Sphynx pinastri, CharlesG2:
Answer by Sphynx pinastri(7) About Me  (Show Source):
You can put this solution on YOUR website!
The absolute value is always greater than or equal to 0. So x can be any real number.

Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
[-4x-5]> -3
(The brackets are what i used for the absolute value bars, and the sign is actually greater than or equal to...i just didnt have a way of typing it in the equation) thanks for your help!



okay I think I understand
|-4x - 5| >= -3 --> this is your problem, >= --> used this for greater than or equal to

above problem is same as the following problem:
-4x - 5 >= -3 OR -4x - 5 <= 3
-4x >= 2 OR -4x <= 8 (same operation both sides of >= sign)
x <= 2/(-4) OR x >= 8/(-4) (flipped sign since divided by negative)
x <= -1/2 OR x >= -2
answer set: (-infinity,-1/2]U[-2,+infinity} (the bracket means inclusion in the set, the "U" means union), the 2 sets in the union overlap, seems all values of x are solutions