Question

if |x| less than 0.5 then what is (4-8x)^-1/2??

Answer 1

\[
|x|<0.5\implies -0.5<x<0.5
\]

Answer 2

So our answer will also likely be in terms of a range.

Answer 3

If you mutliply both sides by \(-8\) you get:\[
-4<-8x<4
\]

Answer 4

Add \(4\) and you get: \[
0<4-8x<8
\]

Answer 5

Take square root and you get: \[
0<\sqrt{4-8x}<\sqrt 8
\]

Answer 6

Finally, you invert it and you get :\[
\frac{1}{\sqrt 8} < \frac{1}{\sqrt{4-8x}}
\]

Answer 7

it is not an answer(

Answer 8

Sure it is!

Answer 9

x|<0.5⟹−0.5<x<0.5 it is not true)))

Answer 10

\[
|x| < 0.5
\]means that: \[
x < 0.5
\] and \[
-x < 0.5
\]We can simplify \(-x < 0.5\): multiply by -1: \(x > -0.5\) which is just \(-0.5 < x\)

If you combine \(-0.5 <x \) and \(x<0.5\) you get \(-0.5<x<0.5\).

Answer 11

ok