Question

@geerky42

Answer 1

Select true or false:

The function –3(x + 2)(x – 5)3 > 0, when x < –2 or x > 5.

Answer 2

Last one, i have to go soon sorry

Answer 3

okay(:

Answer 4

For this problem, you just have to use brain.

So we have \(x<-2\)
What do that tell us about \((x+2)\)

Answer 5

it would be true(:

Answer 6

is \(x+2\) always positive for \(x<-2\) ?

Answer 7

no

Answer 8

Always negative, right?

Answer 9

yes

Answer 10

ok, so we have: \(-3(x+2)(x-5)^3>0 ~~\Longrightarrow~~(-)(-)(x-5)^3 > 0\)

-3 is always negative, obviously. and (x+2) is always negative. what about \((x-5)^3\) ?

Answer 11

its always negative exceot when x is 6

Answer 12

except

Answer 13

well, yeah, but at x<-2, x cannot be 6.

So we have three negative numbers multiplying together.

(-)(-)(-)>0

multiplying negative numbers get us positive:

(-)(-) -> (+)

So we have (-)(-)(-) -> (+)(-)

Answer 14

and (+)(-) is always negative

So is \((-)>0\)? is negative number larger than 0?

Answer 15

nope

Answer 16

yeah, so that function at x<-2 is false.

Answer 17

oh so this would be false..

Answer 18

right

Answer 19

so we dont even have to check the other one because its false

Answer 20

thanks!!

Answer 21

make sense, right?

Answer 22

welcome

Answer 23

yes!