SOLUTION: solve each absolute value equation or inequality analytically using a distance statement report your solution using equality or inequality notation. a. (w and 10 are in absolu

Algebra ->  College  -> Linear Algebra -> SOLUTION: solve each absolute value equation or inequality analytically using a distance statement report your solution using equality or inequality notation. a. (w and 10 are in absolu      Log On


   

Question 139998This question is from textbook an intermediate course in algebra
: solve each absolute value equation or inequality analytically using a distance statement
report your solution using equality or inequality notation.
a. (w and 10 are in absolute value form)
w-10%3E0.5
b. (x and 2.3 are in absolute value form)
x%2B2.3is+greater+than+or+equal+to+1.7
c. (x and 1005 are in absolute value form)
x-1005+is+less+than+or+equal+to+10
d. (R and 5 are in absolute value form)
R-5%3C-2
e.
(0.25w and 1.75 are in absolute value form)
0.25w-1.75is+greater+than+or+equal+to+1
f. (x and 3are in absolute value form)
x%2B3%3C-2 This question is from textbook an intermediate course in algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a. (w and 10 are in absolute value form)
w-10%3E0.5
|w-10| > 0.5
w-10 < -0.5 or x-10 > 0.5
x < 9.5 or x > 10.5
---------------------------
b. (x and 2.3 are in absolute value form)
x%2B2.3is+greater+than+or+equal+to+1.7
|x+2.3| >= 1.7
x+2 <= -1.7 or x+2 >= 1.7
x <= -3.7 or x >=-.03
----------------------------
c. (x and 1005 are in absolute value form)
x-1005+is+less+than+or+equal+to+10
-10 <= x-1005 <= 10
995 <= x <= 1015
------------------------------
Cheers,
Stan H.
d. (R and 5 are in absolute value form)
R-5%3C-2
e.
(0.25w and 1.75 are in absolute value form)
0.25w-1.75is+greater+than+or+equal+to+1
f. (x and 3are in absolute value form)
x%2B3%3C-2