Question

Solve for x: 4 − (x + 2) < −3(x + 4)

x < −7

x > −7

x < −9

x > −9

Answer 1

That goes like this:\[4-x-2<-3x-12\]then\[2-x <-3x-12\]

Answer 2

Can you explain each step? This is from a test and I'm really stuck.

Answer 3

\[14<-2x\]

Answer 4

Because you are dividing by a negative number, you have to change the sign when you do the division?

Answer 5

Step by step? Ok, here goes...

Answer 6

please

Answer 7

Ok starting right at the start with the original inequality:

Answer 8

\[4-(x+2)<-3(x+4)\]The negative sign on the left changes the sign inside the parenthesis. Like this:\[4-x-2<-3(x+4)\]

Answer 9

Simplifying the left side, 4 - 2 = 2 so \[2-x <-3(x+4)\]

Answer 10

The right side then needs to distribute the -3 into the parenthesis:\[2-x <-3x-12\]

Answer 11

Now you combine the x's on one side and the numbers on the other, like this:\[2+12<-3x+x\]

Answer 12

Simplifying gives you this:\[14<-2x\]

Answer 13

is it x > 7

Answer 14

Like I said before, when you divide by a negative number you have to change the inequality sign:\[-\frac{ 14 }{ 2 }>\frac{ -2 }{ -2 }x\]

Answer 15

\[-7>x\]which is the same thing as x<-7. Your first choice from your list of answers.

Answer 16

And that's it! You're done!

Answer 17

Sorry i never gave you a medal, I kind of passed out last night. theweed2stronk @IMstuck