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Mathematics 6 Online
OpenStudy (anonymous):

10 < –3x + 1

OpenStudy (anonymous):

9<-3x 3>-x x>-3 , correct me

OpenStudy (kainui):

It's dividing by a negative that changes the sign. 2>-3 -2<3

OpenStudy (anonymous):

i think m correct then

OpenStudy (kainui):

You changed the sign when you divided by 3, which is wrong.

OpenStudy (anonymous):

oh

OpenStudy (kainui):

Small mistake, you still got the right answer. But anytime you multiply or divide both sides of an inequality by a negative number you have to swap the sign too.

OpenStudy (anonymous):

i'm confused

OpenStudy (anonymous):

check out ma answer, thats final

OpenStudy (anonymous):

10 < -3 x + 1 Would I start by adding three to the -3 and the 1?

OpenStudy (anonymous):

Start by subtracting 1 from either sides

OpenStudy (anonymous):

10-1<-3x+1-1 9<-3x 3>-x -3< x

OpenStudy (anonymous):

@ambermarie , What do you get?

OpenStudy (anonymous):

-3<x

OpenStudy (anonymous):

10 < -3 x + 1 -1 -1?

OpenStudy (mathstudent55):

10 < -3x + 1 Do one step at a time. You started it correctly. First, subtract 1 from both sides: 9 < -3x you did this correctly Now since x is being multiplied by -3, you need to divide both sides by -3. Since you're dividing both sides of an inequality by a negative number, this is where the inequality sign changes direction. 9/(-3) > (-3x)/(-3) -3 > x x < -3

OpenStudy (anonymous):

10 < -3x + 1 10 - 1 < - 3x + 1 - 1 9 < - 3x (when you divide by a negative change the sign.) -3 > x

OpenStudy (anonymous):

No no no! -- 10 -1 < -3x +1 -1

OpenStudy (anonymous):

Okay,

OpenStudy (anonymous):

9< -3x?

OpenStudy (anonymous):

Perfect :) now, to simplify the inequality, divide both the sides by (-3) here, we have to be "very careful" about one thing. Whenever, you divide an inequality by a negative number, the inequality sign changes. So, what do you get now ?

OpenStudy (anonymous):

9 < -3x /-3 /-3 9/-3= -3 -3>x

OpenStudy (anonymous):

Wow :D So, You got the answer yourself, didn't you ? :P

OpenStudy (anonymous):

Yes, lol. Thanks :D

OpenStudy (anonymous):

Haha :D You're welcome :)

OpenStudy (anonymous):

it would be open, and shading to the left, right?

OpenStudy (anonymous):

yeah! open, and shaded to the left, yeah! :D

OpenStudy (anonymous):

yay

OpenStudy (anonymous):

:D

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