Question

Find the solutions to 0 > –(x – 2)^3

Answer 1

Here, eliminate the cube by taking the cube root of both sides.

Answer 2

Please help satelite.

Answer 3

\[0 > -(x -2)^3
\iff 0> -(x-2)\]

Answer 4

\[0>-(x-2)\]
\[0>-x+2\]
\[x>2\]

Answer 5

Isn't it x<2?
You divided by negative #.

Answer 6

no did not divide
lets go over the steps

Answer 7

\[0>-(x-2)\]use the distributive property to remove the parentheses get
\[0>-x+2\]add \(x\) to both sides get \[x>2\]

Answer 8

Oh, I divided by -1

Answer 9

ok we can do that too
start with
\[0>-(x-2)\] divide (or multiply) by \(-1\) get \[0<x-2\] add 2 to get
\[2<x\]

Answer 10

the method does not matter, you still end up with "\(x\) is greater than 2"

Answer 11

But I distributed the -1 and then I dvided by -1.

Answer 12

Why wouldn't that work?

Answer 13

ok we can do that as well
\[0>-(x-2)\]
\[0>-x+2\] subtract 2 get
\[-2>-x\] divide by \(-1\) get
\[2<x\]

Answer 14

Oh.
Okay, thanks. So the answer is 2<x?

Answer 15

there is more than one say to skin a cat
but the answer is still \(2<x\)

Answer 16

Okay, lol
I only know one way to skin a cat though. lol